51642057600 has 768 divisors, whose sum is σ = 218355072000. Its totient is φ = 11675197440.

The previous prime is 51642057559. The next prime is 51642057613. The reversal of 51642057600 is 675024615.

It is a happy number.

51642057600 is a `hidden beast` number, since 5 + 1 + 6 + 42 + 0 + 5 + 7 + 600 = 666.

It is a super-2 number, since 2×51642057600² (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 95 ways as a sum of consecutive naturals, for example, 62293986 + ... + 62294814.

It is an arithmetic number, because the mean of its divisors is an integer number (284316500).

Almost surely, 2^51642057600 is an apocalyptic number.

51642057600 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 51642057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109177536000).

51642057600 is an abundant number, since it is smaller than the sum of its proper divisors (166713014400).

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

51642057600 is a wasteful number, since it uses less digits than its factorization.

51642057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 51642057600 in words is "fifty-one billion, six hundred forty-two million, fifty-seven thousand, six hundred".