51415814016000 has 4224 divisors, whose sum is σ = 241028728012800. Its totient is φ = 10657175961600.

The previous prime is 51415814015977. The next prime is 51415814016011. The reversal of 51415814016000 is 61041851415.

51415814016000 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 5 + 8 + 1 + 40 + 1 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 107339903761 + ... + 107339904239.

Almost surely, 2^{51415814016000} is an apocalyptic number.

51415814016000 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 51415814016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120514364006400).

51415814016000 is an abundant number, since it is smaller than the sum of its proper divisors (189612913996800).

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

51415814016000 is a wasteful number, since it uses less digits than its factorization.

51415814016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 51415814016000 its reverse (61041851415), we get a palindrome (51476855867415).

The spelling of 51415814016000 in words is "fifty-one trillion, four hundred fifteen billion, eight hundred fourteen million, sixteen thousand".