50313741926400 has 816 divisors, whose sum is σ = 192896079217920. Its totient is φ = 12833390592000.

The previous prime is 50313741926303. The next prime is 50313741926431. The reversal of 50313741926400 is 462914731305.

50313741926400 is a `hidden beast` number, since 5 + 0 + 3 + 1 + 374 + 19 + 264 + 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 47 ways as a sum of consecutive naturals, for example, 1017421675 + ... + 1017471125.

Almost surely, 2^{50313741926400} is an apocalyptic number.

50313741926400 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 50313741926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96448039608960).

50313741926400 is an abundant number, since it is smaller than the sum of its proper divisors (142582337291520).

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

50313741926400 is an equidigital number, since it uses as much as digits as its factorization.

50313741926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49525 (or 49484 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 50313741926400 in words is "fifty trillion, three hundred thirteen billion, seven hundred forty-one million, nine hundred twenty-six thousand, four hundred".