49951597363200 has 1920 divisors, whose sum is σ = 202085173012800. Its totient is φ = 12123572797440.

The previous prime is 49951597363177. The next prime is 49951597363243. The reversal of 49951597363200 is 236379515994.

49951597363200 is a `hidden beast` number, since 4 + 9 + 9 + 5 + 1 + 597 + 3 + 6 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68146790034 + ... + 68146790766.

Almost surely, 2^{49951597363200} is an apocalyptic number.

49951597363200 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 49951597363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101042586506400).

49951597363200 is an abundant number, since it is smaller than the sum of its proper divisors (152133575649600).

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

49951597363200 is an equidigital number, since it uses as much as digits as its factorization.

49951597363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 49951597363200 in words is "forty-nine trillion, nine hundred fifty-one billion, five hundred ninety-seven million, three hundred sixty-three thousand, two hundred".