49572979200 has 540 divisors, whose sum is σ = 188584208670. Its totient is φ = 12433489920.

The previous prime is 49572979199. The next prime is 49572979207. The reversal of 49572979200 is 297927594.

49572979200 is a `hidden beast` number, since 49 + 572 + 9 + 7 + 9 + 20 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 7308198144 + 42264781056 = 85488^2 + 205584^2 .

It is not an unprimeable number, because it can be changed into a prime (49572979207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 33292056 + ... + 33293544.

Almost surely, 2^49572979200 is an apocalyptic number.

49572979200 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 49572979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94292104335).

49572979200 is an abundant number, since it is smaller than the sum of its proper divisors (139011229470).

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

49572979200 is a wasteful number, since it uses less digits than its factorization.

49572979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

It can be divided in two parts, 49572 and 979200, that multiplied together give a square (48540902400 = 220320²).

The spelling of 49572979200 in words is "forty-nine billion, five hundred seventy-two million, nine hundred seventy-nine thousand, two hundred".