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60053587440 = 243571122961167
BaseRepresentation
bin110111111011011110…
…010000010111110000
312202000020102022220020
4313323132100113300
51440442204244230
643331020443440
74224120033210
oct677336202760
9182006368806
1060053587440
1123517759100
12b77b9a9580
1358808a0432
142c99a42240
1518672da810
hexdfb7905f0

60053587440 has 960 divisors, whose sum is σ = 247364167680. Its totient is φ = 11779891200.

The previous prime is 60053587423. The next prime is 60053587493. The reversal of 60053587440 is 4478535006.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 60053587392 and 60053587401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 359602237 + ... + 359602403.

It is an arithmetic number, because the mean of its divisors is an integer number (257671008).

Almost surely, 260053587440 is an apocalyptic number.

60053587440 is a gapful number since it is divisible by the number (60) 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 60053587440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123682083840).

60053587440 is an abundant number, since it is smaller than the sum of its proper divisors (187310580240).

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

60053587440 is a wasteful number, since it uses less digits than its factorization.

60053587440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 60053587440 in words is "sixty billion, fifty-three million, five hundred eighty-seven thousand, four hundred forty".