48927564000 has 1536 divisors, whose sum is σ = 222814126080. Its totient is φ = 10301644800.

The previous prime is 48927563959. The next prime is 48927564011. The reversal of 48927564000 is 46572984.

It is a happy number.

48927564000 is a `hidden beast` number, since 4 + 89 + 2 + 7 + 564 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1041011977 + ... + 1041012023.

It is an arithmetic number, because the mean of its divisors is an integer number (145061280).

Almost surely, 2^48927564000 is an apocalyptic number.

48927564000 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 48927564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111407063040).

48927564000 is an abundant number, since it is smaller than the sum of its proper divisors (173886562080).

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

48927564000 is an equidigital number, since it uses as much as digits as its factorization.

48927564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 48927564000 in words is "forty-eight billion, nine hundred twenty-seven million, five hundred sixty-four thousand".