51854677010136 has 2592 divisors, whose sum is σ = 206011777420800. Its totient is φ = 11879336102400.

The previous prime is 51854677010107. The next prime is 51854677010159. The reversal of 51854677010136 is 63101077645815.

51854677010136 is a `hidden beast` number, since 5 + 1 + 8 + 5 + 467 + 70 + 101 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 656388316545 + ... + 656388316623.

It is an arithmetic number, because the mean of its divisors is an integer number (79479852400).

Almost surely, 2^{51854677010136} is an apocalyptic number.

51854677010136 is a gapful number since it is divisible by the number (56) 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 51854677010136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103005888710400).

51854677010136 is an abundant number, since it is smaller than the sum of its proper divisors (154157100410664).

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

51854677010136 is a wasteful number, since it uses less digits than its factorization.

51854677010136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 51854677010136 in words is "fifty-one trillion, eight hundred fifty-four billion, six hundred seventy-seven million, ten thousand, one hundred thirty-six".