50677250400 has 432 divisors, whose sum is σ = 213210884880. Its totient is φ = 11583129600.

The previous prime is 50677250387. The next prime is 50677250413. The reversal of 50677250400 is 405277605.

50677250400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50677250387) and next prime (50677250413).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1034460 + ... + 1082340.

It is an arithmetic number, because the mean of its divisors is an integer number (493543715).

Almost surely, 2^50677250400 is an apocalyptic number.

50677250400 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 50677250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106605442440).

50677250400 is an abundant number, since it is smaller than the sum of its proper divisors (162533634480).

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

50677250400 is a wasteful number, since it uses less digits than its factorization.

50677250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47924 (or 47898 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 50677250400 in words is "fifty billion, six hundred seventy-seven million, two hundred fifty thousand, four hundred".