48727715400 has 1536 divisors, whose sum is σ = 230985216000. Its totient is φ = 9137111040.

The previous prime is 48727715339. The next prime is 48727715411. The reversal of 48727715400 is 451772784.

48727715400 is a `hidden beast` number, since 4 + 87 + 27 + 7 + 1 + 540 + 0 = 666.

48727715400 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 383 ways as a sum of consecutive naturals, for example, 158722047 + ... + 158722353.

It is an arithmetic number, because the mean of its divisors is an integer number (150381000).

Almost surely, 2^48727715400 is an apocalyptic number.

48727715400 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 48727715400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608000).

48727715400 is an abundant number, since it is smaller than the sum of its proper divisors (182257500600).

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

48727715400 is a wasteful number, since it uses less digits than its factorization.

48727715400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 48727715400 in words is "forty-eight billion, seven hundred twenty-seven million, seven hundred fifteen thousand, four hundred".