49693597900800 has 2016 divisors, whose sum is σ = 197009056059840. Its totient is φ = 11015553024000.

The previous prime is 49693597900711. The next prime is 49693597900801. The reversal of 49693597900800 is 800979539694.

It is not an unprimeable number, because it can be changed into a prime (49693597900801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179399270262 + ... + 179399270538.

Almost surely, 2^{49693597900800} is an apocalyptic number.

49693597900800 is a gapful number since it is divisible by the number (40) 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 49693597900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98504528029920).

49693597900800 is an abundant number, since it is smaller than the sum of its proper divisors (147315458159040).

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

49693597900800 is a wasteful number, since it uses less digits than its factorization.

49693597900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 69.

The spelling of 49693597900800 in words is "forty-nine trillion, six hundred ninety-three billion, five hundred ninety-seven million, nine hundred thousand, eight hundred".