51026525540100 has 288 divisors, whose sum is σ = 186734228244480. Its totient is φ = 11832237648000.

The previous prime is 51026525540093. The next prime is 51026525540129. The reversal of 51026525540100 is 104552562015.

51026525540100 is a `hidden beast` number, since 5 + 1 + 0 + 2 + 6 + 5 + 2 + 5 + 540 + 100 = 666.

51026525540100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36666136 + ... + 38032335.

It is an arithmetic number, because the mean of its divisors is an integer number (648382736960).

Almost surely, 2^{51026525540100} is an apocalyptic number.

51026525540100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51026525540100 is an abundant number, since it is smaller than the sum of its proper divisors (135707702704380).

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

51026525540100 is a wasteful number, since it uses less digits than its factorization.

51026525540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74698528 (or 74698515 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 51026525540100 in words is "fifty-one trillion, twenty-six billion, five hundred twenty-five million, five hundred forty thousand, one hundred".