55939715500032 has 1152 divisors, whose sum is σ = 207558302515200. Its totient is φ = 14574165884928.

The previous prime is 55939715499991. The next prime is 55939715500037. The reversal of 55939715500032 is 23000551793955.

55939715500032 is a `hidden beast` number, since 5 + 5 + 9 + 3 + 97 + 15 + 500 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (55939715500037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5429453793 + ... + 5429464095.

It is an arithmetic number, because the mean of its divisors is an integer number (180172137600).

Almost surely, 2^{55939715500032} is an apocalyptic number.

55939715500032 is a gapful number since it is divisible by the number (52) 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 55939715500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103779151257600).

55939715500032 is an abundant number, since it is smaller than the sum of its proper divisors (151618587015168).

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

55939715500032 is a wasteful number, since it uses less digits than its factorization.

55939715500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 6378750, while the sum is 54.

The spelling of 55939715500032 in words is "fifty-five trillion, nine hundred thirty-nine billion, seven hundred fifteen million, five hundred thousand, thirty-two".