50578862400 has 840 divisors, whose sum is σ = 214849838016. Its totient is φ = 11534745600.

The previous prime is 50578862371. The next prime is 50578862401. The reversal of 50578862400 is 426887505.

50578862400 is a `hidden beast` number, since 50 + 578 + 8 + 6 + 24 + 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 not an unprimeable number, because it can be changed into a prime (50578862401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24234157 + ... + 24236243.

Almost surely, 2^50578862400 is an apocalyptic number.

50578862400 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 50578862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107424919008).

50578862400 is an abundant number, since it is smaller than the sum of its proper divisors (164270975616).

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

50578862400 is a wasteful number, since it uses less digits than its factorization.

50578862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 50578862400 in words is "fifty billion, five hundred seventy-eight million, eight hundred sixty-two thousand, four hundred".