49579997659200 has 672 divisors, whose sum is σ = 186684663480320. Its totient is φ = 12786817075200.

The previous prime is 49579997659187. The next prime is 49579997659201. The reversal of 49579997659200 is 295679997594.

49579997659200 is a `hidden beast` number, since 495 + 7 + 9 + 9 + 9 + 76 + 59 + 2 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49579997659200.

It is not an unprimeable number, because it can be changed into a prime (49579997659201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2307430857 + ... + 2307452343.

Almost surely, 2^{49579997659200} is an apocalyptic number.

49579997659200 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 49579997659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93342331740160).

49579997659200 is an abundant number, since it is smaller than the sum of its proper divisors (137104665821120).

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

49579997659200 is a wasteful number, since it uses less digits than its factorization.

49579997659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23272 (or 23251 counting only the distinct ones).

The product of its (nonzero) digits is 3472081200, while the sum is 81.

The spelling of 49579997659200 in words is "forty-nine trillion, five hundred seventy-nine billion, nine hundred ninety-seven million, six hundred fifty-nine thousand, two hundred".