49625362800 has 1260 divisors, whose sum is σ = 207595719720. Its totient is φ = 11354204160.

The previous prime is 49625362799. The next prime is 49625362811. The reversal of 49625362800 is 826352694.

49625362800 is a `hidden beast` number, since 4 + 96 + 2 + 536 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 936327574 + ... + 936327626.

Almost surely, 2^49625362800 is an apocalyptic number.

49625362800 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 49625362800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103797859860).

49625362800 is an abundant number, since it is smaller than the sum of its proper divisors (157970356920).

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

49625362800 is a wasteful number, since it uses less digits than its factorization.

49625362800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 49625362800 in words is "forty-nine billion, six hundred twenty-five million, three hundred sixty-two thousand, eight hundred".