50973807513600 has 2184 divisors, whose sum is σ = 202356795315360. Its totient is φ = 12693059665920.

The previous prime is 50973807513583. The next prime is 50973807513637. The reversal of 50973807513600 is 631570837905.

50973807513600 is a `hidden beast` number, since 5 + 0 + 97 + 38 + 0 + 7 + 513 + 6 + 0 + 0 = 666.

50973807513600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 117722418984 + ... + 117722419416.

Almost surely, 2^{50973807513600} is an apocalyptic number.

50973807513600 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 50973807513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101178397657680).

50973807513600 is an abundant number, since it is smaller than the sum of its proper divisors (151382987801760).

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

50973807513600 is an equidigital number, since it uses as much as digits as its factorization.

50973807513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 50973807513600 in words is "fifty trillion, nine hundred seventy-three billion, eight hundred seven million, five hundred thirteen thousand, six hundred".