48774082560 has 624 divisors, whose sum is σ = 192417205536. Its totient is φ = 10481565696.

The previous prime is 48774082517. The next prime is 48774082561. The reversal of 48774082560 is 6528047784.

It is a super-2 number, since 2×48774082560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48774082561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51179044 + ... + 51179996.

Almost surely, 2^48774082560 is an apocalyptic number.

48774082560 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 48774082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96208602768).

48774082560 is an abundant number, since it is smaller than the sum of its proper divisors (143643122976).

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

48774082560 is a wasteful number, since it uses less digits than its factorization.

48774082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 48774082560 in words is "forty-eight billion, seven hundred seventy-four million, eighty-two thousand, five hundred sixty".