49295573913600 has 1248 divisors, whose sum is σ = 207492052992000. Its totient is φ = 11238819102720.

The previous prime is 49295573913589. The next prime is 49295573913601. The reversal of 49295573913600 is 631937559294.

49295573913600 is a `hidden beast` number, since 4 + 9 + 2 + 9 + 5 + 5 + 7 + 3 + 9 + 13 + 600 = 666.

49295573913600 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 (63).

It is not an unprimeable number, because it can be changed into a prime (49295573913601) 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, 8109155361 + ... + 8109161439.

Almost surely, 2^{49295573913600} is an apocalyptic number.

49295573913600 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 49295573913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103746026496000).

49295573913600 is an abundant number, since it is smaller than the sum of its proper divisors (158196479078400).

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

49295573913600 is a wasteful number, since it uses less digits than its factorization.

49295573913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548 (or 6515 counting only the distinct ones).

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

The spelling of 49295573913600 in words is "forty-nine trillion, two hundred ninety-five billion, five hundred seventy-three million, nine hundred thirteen thousand, six hundred".