10026129028788 has 18 divisors (see below), whose sum is σ = 25343826156194. Its totient is φ = 3342043009584.

The previous prime is 10026129028777. The next prime is 10026129028841. The reversal of 10026129028788 is 88782092162001.

10026129028788 is a `hidden beast` number, since 1 + 0 + 0 + 261 + 29 + 0 + 287 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5831587457424 + 4194541571364 = 2414868^2 + 2048058^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139251792031 + ... + 139251792102.

Almost surely, 2^{10026129028788} is an apocalyptic number.

10026129028788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10026129028788 is an abundant number, since it is smaller than the sum of its proper divisors (15317697127406).

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

10026129028788 is a wasteful number, since it uses less digits than its factorization.

10026129028788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278503584143 (or 278503584138 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 10026129028788 in words is "ten trillion, twenty-six billion, one hundred twenty-nine million, twenty-eight thousand, seven hundred eighty-eight".