51440657083200 has 2688 divisors, whose sum is σ = 240457295462400. Its totient is φ = 10387491840000.

The previous prime is 51440657083199. The next prime is 51440657083229. The reversal of 51440657083200 is 238075604415.

51440657083200 is a `hidden beast` number, since 5 + 1 + 4 + 40 + 6 + 570 + 8 + 32 + 0 + 0 = 666.

51440657083200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51440657083200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23607459711 + ... + 23607461889.

Almost surely, 2^{51440657083200} is an apocalyptic number.

51440657083200 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 51440657083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120228647731200).

51440657083200 is an abundant number, since it is smaller than the sum of its proper divisors (189016638379200).

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

51440657083200 is a wasteful number, since it uses less digits than its factorization.

51440657083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 51440657083200 in words is "fifty-one trillion, four hundred forty billion, six hundred fifty-seven million, eighty-three thousand, two hundred".