50700038400 has 1080 divisors, whose sum is σ = 216946677024. Its totient is φ = 11545804800.

The previous prime is 50700038393. The next prime is 50700038419. The reversal of 50700038400 is 483000705.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×50700038400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96940539 + ... + 96941061.

Almost surely, 2^50700038400 is an apocalyptic number.

50700038400 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 50700038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108473338512).

50700038400 is an abundant number, since it is smaller than the sum of its proper divisors (166246638624).

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

50700038400 is a wasteful number, since it uses less digits than its factorization.

50700038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 50700038400 in words is "fifty billion, seven hundred million, thirty-eight thousand, four hundred".