49915958400 has 1920 divisors, whose sum is σ = 239110945920. Its totient is φ = 9953280000.

The previous prime is 49915958381. The next prime is 49915958429. The reversal of 49915958400 is 485951994.

49915958400 is a `hidden beast` number, since 4 + 9 + 9 + 1 + 59 + 584 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 818294370 + ... + 818294430.

It is an arithmetic number, because the mean of its divisors is an integer number (124536951).

Almost surely, 2^49915958400 is an apocalyptic number.

49915958400 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 49915958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119555472960).

49915958400 is an abundant number, since it is smaller than the sum of its proper divisors (189194987520).

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

49915958400 is a wasteful number, since it uses less digits than its factorization.

49915958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 49915958400 in words is "forty-nine billion, nine hundred fifteen million, nine hundred fifty-eight thousand, four hundred".