51507640800 has 2016 divisors, whose sum is σ = 249188050944. Its totient is φ = 10077696000.

The previous prime is 51507640783. The next prime is 51507640801. The reversal of 51507640800 is 804670515.

51507640800 is a `hidden beast` number, since 5 + 1 + 5 + 0 + 7 + 640 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51507640801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1392098382 + ... + 1392098418.

It is an arithmetic number, because the mean of its divisors is an integer number (123605184).

Almost surely, 2^51507640800 is an apocalyptic number.

51507640800 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 51507640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124594025472).

51507640800 is an abundant number, since it is smaller than the sum of its proper divisors (197680410144).

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

51507640800 is a wasteful number, since it uses less digits than its factorization.

51507640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 51507640800 in words is "fifty-one billion, five hundred seven million, six hundred forty thousand, eight hundred".