5959152460800 has 4224 divisors, whose sum is σ = 29474913484800. Its totient is φ = 1142636544000.

The previous prime is 5959152460741. The next prime is 5959152460817. The reversal of 5959152460800 is 80642519595.

5959152460800 is a `hidden beast` number, since 5 + 9 + 5 + 9 + 1 + 5 + 24 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×5959152460800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 71797017559 + ... + 71797017641.

Almost surely, 2^{5959152460800} is an apocalyptic number.

5959152460800 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 5959152460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737456742400).

5959152460800 is an abundant number, since it is smaller than the sum of its proper divisors (23515761024000).

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

5959152460800 is a wasteful number, since it uses less digits than its factorization.

5959152460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 5959152460800 in words is "five trillion, nine hundred fifty-nine billion, one hundred fifty-two million, four hundred sixty thousand, eight hundred".