10268537961600 has 960 divisors, whose sum is σ = 42234210453600. Its totient is φ = 2441539584000.

The previous prime is 10268537961551. The next prime is 10268537961623. The reversal of 10268537961600 is 616973586201.

10268537961600 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 8 + 537 + 96 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 83660275 + ... + 83782925.

Almost surely, 2^{10268537961600} is an apocalyptic number.

10268537961600 is a gapful number since it is divisible by the number (10) 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 10268537961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117105226800).

10268537961600 is an abundant number, since it is smaller than the sum of its proper divisors (31965672492000).

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

10268537961600 is a wasteful number, since it uses less digits than its factorization.

10268537961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122723 (or 122697 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10268537961600 in words is "ten trillion, two hundred sixty-eight billion, five hundred thirty-seven million, nine hundred sixty-one thousand, six hundred".