10135261551200 has 72 divisors (see below), whose sum is σ = 24746315462568. Its totient is φ = 4053513415680.

The previous prime is 10135261551199. The next prime is 10135261551211. The reversal of 10135261551200 is 215516253101.

It is a super-2 number, since 2×10135261551200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4586084 + ... + 6426716.

It is an arithmetic number, because the mean of its divisors is an integer number (343698825869).

Almost surely, 2^{10135261551200} is an apocalyptic number.

10135261551200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10135261551200 is an abundant number, since it is smaller than the sum of its proper divisors (14611053911368).

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

10135261551200 is a wasteful number, since it uses less digits than its factorization.

10135261551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847536 (or 1847523 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 10135261551200 in words is "ten trillion, one hundred thirty-five billion, two hundred sixty-one million, five hundred fifty-one thousand, two hundred".