51697152000 has 624 divisors, whose sum is σ = 200930865408. Its totient is φ = 12710707200.

The previous prime is 51697151983. The next prime is 51697152019. The reversal of 51697152000 is 25179615.

51697152000 is a `hidden beast` number, since 5 + 1 + 69 + 71 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×51697152000² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 59903569 + ... + 59904431.

It is an arithmetic number, because the mean of its divisors is an integer number (322004592).

Almost surely, 2^51697152000 is an apocalyptic number.

51697152000 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 51697152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100465432704).

51697152000 is an abundant number, since it is smaller than the sum of its proper divisors (149233713408).

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

51697152000 is a wasteful number, since it uses less digits than its factorization.

51697152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

It can be divided in two parts, 5169715 and 2000, that added together give a palindrome (5171715).

The spelling of 51697152000 in words is "fifty-one billion, six hundred ninety-seven million, one hundred fifty-two thousand".