201516263411400 has 144 divisors (see below), whose sum is σ = 773438611046400. Its totient is φ = 46060860205440.

The previous prime is 201516263411399. The next prime is 201516263411443. The reversal of 201516263411400 is 4114362615102.

201516263411400 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 1 + 6 + 2 + 634 + 1 + 14 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7996664520 + ... + 7996689719.

It is an arithmetic number, because the mean of its divisors is an integer number (5371101465600).

Almost surely, 2^{201516263411400} is an apocalyptic number.

201516263411400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201516263411400 is an abundant number, since it is smaller than the sum of its proper divisors (571922347635000).

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

201516263411400 is a wasteful number, since it uses less digits than its factorization.

201516263411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15993354268 (or 15993354256 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 201516263411400 in words is "two hundred one trillion, five hundred sixteen billion, two hundred sixty-three million, four hundred eleven thousand, four hundred".