201059155600 has 120 divisors (see below), whose sum is σ = 488844093920. Its totient is φ = 79460904960.

The previous prime is 201059155597. The next prime is 201059155607. The reversal of 201059155600 is 6551950102.

It is a super-2 number, since 2×201059155600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201059155607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24944371 + ... + 24952429.

Almost surely, 2^201059155600 is an apocalyptic number.

201059155600 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 201059155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244422046960).

201059155600 is an abundant number, since it is smaller than the sum of its proper divisors (287784938320).

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

201059155600 is a wasteful number, since it uses less digits than its factorization.

201059155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8817 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 34.

The spelling of 201059155600 in words is "two hundred one billion, fifty-nine million, one hundred fifty-five thousand, six hundred".