51520669200 has 2160 divisors, whose sum is σ = 263242901376. Its totient is φ = 8980070400.

The previous prime is 51520669199. The next prime is 51520669237. The reversal of 51520669200 is 296602515.

51520669200 is a `hidden beast` number, since 51 + 520 + 6 + 69 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1776574786 + ... + 1776574814.

Almost surely, 2^51520669200 is an apocalyptic number.

51520669200 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 51520669200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131621450688).

51520669200 is an abundant number, since it is smaller than the sum of its proper divisors (211722232176).

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

51520669200 is a wasteful number, since it uses less digits than its factorization.

51520669200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 51520669200 in words is "fifty-one billion, five hundred twenty million, six hundred sixty-nine thousand, two hundred".