51375513600 has 840 divisors, whose sum is σ = 201564636240. Its totient is φ = 12899450880.

The previous prime is 51375513547. The next prime is 51375513643. The reversal of 51375513600 is 631557315.

51375513600 is a `hidden beast` number, since 5 + 1 + 37 + 5 + 5 + 13 + 600 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 315187119 + ... + 315187281.

Almost surely, 2^51375513600 is an apocalyptic number.

51375513600 is a gapful number since it is divisible by the number (50) 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 51375513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100782318120).

51375513600 is an abundant number, since it is smaller than the sum of its proper divisors (150189122640).

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

51375513600 is a wasteful number, since it uses less digits than its factorization.

51375513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The spelling of 51375513600 in words is "fifty-one billion, three hundred seventy-five million, five hundred thirteen thousand, six hundred".