49256800358400 has 780 divisors, whose sum is σ = 182649182083632. Its totient is φ = 13121457684480.

The previous prime is 49256800358377. The next prime is 49256800358407. The reversal of 49256800358400 is 485300865294.

49256800358400 is a `hidden beast` number, since 4 + 9 + 2 + 56 + 8 + 0 + 0 + 3 + 584 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (49256800358407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9845450299 + ... + 9845455301.

Almost surely, 2^{49256800358400} is an apocalyptic number.

49256800358400 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 49256800358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91324591041816).

49256800358400 is an abundant number, since it is smaller than the sum of its proper divisors (133392381725232).

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

49256800358400 is a wasteful number, since it uses less digits than its factorization.

49256800358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 49256800358400 in words is "forty-nine trillion, two hundred fifty-six billion, eight hundred million, three hundred fifty-eight thousand, four hundred".