49715542800 has 960 divisors, whose sum is σ = 222477189120. Its totient is φ = 10243584000.

The previous prime is 49715542783. The next prime is 49715542813. The reversal of 49715542800 is 824551794.

49715542800 is a `hidden beast` number, since 4 + 9 + 71 + 554 + 28 + 0 + 0 = 666.

49715542800 is digitally balanced in base 2, 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158835444 + ... + 158835756.

It is an arithmetic number, because the mean of its divisors is an integer number (231747072).

Almost surely, 2^49715542800 is an apocalyptic number.

49715542800 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 49715542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111238594560).

49715542800 is an abundant number, since it is smaller than the sum of its proper divisors (172761646320).

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

49715542800 is a wasteful number, since it uses less digits than its factorization.

49715542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 49715542800 in words is "forty-nine billion, seven hundred fifteen million, five hundred forty-two thousand, eight hundred".