201058878112560 has 1600 divisors, whose sum is σ = 802782650621952. Its totient is φ = 46253423665152.

The previous prime is 201058878112541. The next prime is 201058878112619. The reversal of 201058878112560 is 65211878850102.

It is a happy number.

201058878112560 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 5 + 8 + 8 + 78 + 1 + 1 + 2 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201058878112497 and 201058878112506.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 66203119362 + ... + 66203122398.

Almost surely, 2^{201058878112560} is an apocalyptic number.

201058878112560 is a gapful number since it is divisible by the number (20) 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 201058878112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401391325310976).

201058878112560 is an abundant number, since it is smaller than the sum of its proper divisors (601723772509392).

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

201058878112560 is a wasteful number, since it uses less digits than its factorization.

201058878112560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 54.

The spelling of 201058878112560 in words is "two hundred one trillion, fifty-eight billion, eight hundred seventy-eight million, one hundred twelve thousand, five hundred sixty".