50743327624400 has 120 divisors (see below), whose sum is σ = 123156469141464. Its totient is φ = 20090068992000.

The previous prime is 50743327624397. The next prime is 50743327624441. The reversal of 50743327624400 is 442672334705.

It can be written as a sum of positive squares in 12 ways, for example, as 4651285875856 + 46092041748544 = 2156684^2 + 6789112^2 .

It is a super-2 number, since 2×50743327624400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129771584 + ... + 130162016.

Almost surely, 2^{50743327624400} is an apocalyptic number.

50743327624400 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 50743327624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61578234570732).

50743327624400 is an abundant number, since it is smaller than the sum of its proper divisors (72413141517064).

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

50743327624400 is a wasteful number, since it uses less digits than its factorization.

50743327624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393769 (or 393758 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 47.

The spelling of 50743327624400 in words is "fifty trillion, seven hundred forty-three billion, three hundred twenty-seven million, six hundred twenty-four thousand, four hundred".