51769132800 has 1296 divisors, whose sum is σ = 227124963072. Its totient is φ = 10085990400.

The previous prime is 51769132783. The next prime is 51769132867. The reversal of 51769132800 is 823196715.

It is a super-2 number, since 2×51769132800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 533702352 + ... + 533702448.

Almost surely, 2^51769132800 is an apocalyptic number.

51769132800 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 51769132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113562481536).

51769132800 is an abundant number, since it is smaller than the sum of its proper divisors (175355830272).

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

51769132800 is a wasteful number, since it uses less digits than its factorization.

51769132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 51769132800 in words is "fifty-one billion, seven hundred sixty-nine million, one hundred thirty-two thousand, eight hundred".