50978629877760 has 1760 divisors, whose sum is σ = 208038770976960. Its totient is φ = 11888133931008.

The previous prime is 50978629877729. The next prime is 50978629877827. The reversal of 50978629877760 is 6777892687905.

50978629877760 is a `hidden beast` number, since 509 + 7 + 8 + 6 + 29 + 87 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 50978629877760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2683085783031 + ... + 2683085783049.

It is an arithmetic number, because the mean of its divisors is an integer number (118203847146).

Almost surely, 2^{50978629877760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50978629877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019385488480).

50978629877760 is an abundant number, since it is smaller than the sum of its proper divisors (157060141099200).

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

50978629877760 is an frugal number, since it uses more digits than its factorization.

50978629877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4480842240, while the sum is 81.

The spelling of 50978629877760 in words is "fifty trillion, nine hundred seventy-eight billion, six hundred twenty-nine million, eight hundred seventy-seven thousand, seven hundred sixty".