50511084386400 has 3024 divisors, whose sum is σ = 216608660064720. Its totient is φ = 11454981120000.

The previous prime is 50511084386369. The next prime is 50511084386423. The reversal of 50511084386400 is 468348011505.

50511084386400 is a `hidden beast` number, since 5 + 0 + 51 + 108 + 438 + 64 + 0 + 0 = 666.

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 polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 135418456614 + ... + 135418456986.

It is an arithmetic number, because the mean of its divisors is an integer number (71629847905).

Almost surely, 2^{50511084386400} is an apocalyptic number.

50511084386400 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 50511084386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108304330032360).

50511084386400 is an abundant number, since it is smaller than the sum of its proper divisors (166097575678320).

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

50511084386400 is a wasteful number, since it uses less digits than its factorization.

50511084386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 50511084386400 in words is "fifty trillion, five hundred eleven billion, eighty-four million, three hundred eighty-six thousand, four hundred".