51348710246400 has 1728 divisors, whose sum is σ = 218521603722240. Its totient is φ = 11706251673600.

The previous prime is 51348710246399. The next prime is 51348710246411. The reversal of 51348710246400 is 464201784315.

51348710246400 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 87 + 102 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 63315301995 + ... + 63315302805.

Almost surely, 2^{51348710246400} is an apocalyptic number.

51348710246400 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 51348710246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109260801861120).

51348710246400 is an abundant number, since it is smaller than the sum of its proper divisors (167172893475840).

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

51348710246400 is an equidigital number, since it uses as much as digits as its factorization.

51348710246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 51348710246400 in words is "fifty-one trillion, three hundred forty-eight billion, seven hundred ten million, two hundred forty-six thousand, four hundred".