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56880642581400 = 233521119613739957
BaseRepresentation
bin11001110111011100011100…
…11111101110001110011000
321110101201212210002010222210
430323232032133232032120
524423413024000101100
6320550334555115120
714660330230364151
oct1473561637561630
9243351783063883
1056880642581400
111713aa43953220
126467a24142aa0
132597a8b01b611
1410090759a6928
156898e19d7c50
hex33bb8e7ee398

56880642581400 has 384 divisors, whose sum is σ = 202814792236800. Its totient is φ = 13042168473600.

The previous prime is 56880642581369. The next prime is 56880642581401. The reversal of 56880642581400 is 418524608865.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56880642581401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76500222 + ... + 77240178.

It is an arithmetic number, because the mean of its divisors is an integer number (528163521450).

Almost surely, 256880642581400 is an apocalyptic number.

56880642581400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56880642581400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101407396118400).

56880642581400 is an abundant number, since it is smaller than the sum of its proper divisors (145934149655400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56880642581400 is a wasteful number, since it uses less digits than its factorization.

56880642581400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740619 (or 740610 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 57.

The spelling of 56880642581400 in words is "fifty-six trillion, eight hundred eighty billion, six hundred forty-two million, five hundred eighty-one thousand, four hundred".