49860518400 has 1620 divisors, whose sum is σ = 231280435386. Its totient is φ = 10218700800.

The previous prime is 49860518381. The next prime is 49860518417. The reversal of 49860518400 is 481506894.

49860518400 is a `hidden beast` number, since 4 + 98 + 6 + 0 + 518 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 38372108544 + 11488409856 = 195888^2 + 107184^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 683020764 + ... + 683020836.

Almost surely, 2^49860518400 is an apocalyptic number.

49860518400 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 49860518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115640217693).

49860518400 is an abundant number, since it is smaller than the sum of its proper divisors (181419916986).

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

49860518400 is a wasteful number, since it uses less digits than its factorization.

49860518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 49860518400 in words is "forty-nine billion, eight hundred sixty million, five hundred eighteen thousand, four hundred".