48972677400 has 144 divisors (see below), whose sum is σ = 165156170400. Its totient is φ = 13004624640.

The previous prime is 48972677381. The next prime is 48972677401. The reversal of 48972677400 is 477627984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48972677401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373282 + ... + 487118.

It is an arithmetic number, because the mean of its divisors is an integer number (1146917850).

Almost surely, 2^48972677400 is an apocalyptic number.

48972677400 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 48972677400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82578085200).

48972677400 is an abundant number, since it is smaller than the sum of its proper divisors (116183493000).

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

48972677400 is a wasteful number, since it uses less digits than its factorization.

48972677400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114098 (or 114086 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 48972677400 in words is "forty-eight billion, nine hundred seventy-two million, six hundred seventy-seven thousand, four hundred".