48139660800 has 1680 divisors, whose sum is σ = 226275553152. Its totient is φ = 9853747200.

The previous prime is 48139660799. The next prime is 48139660823. The reversal of 48139660800 is 806693184.

48139660800 is a `hidden beast` number, since 4 + 8 + 1 + 39 + 6 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 167 ways as a sum of consecutive naturals, for example, 718502367 + ... + 718502433.

Almost surely, 2^48139660800 is an apocalyptic number.

48139660800 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 48139660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113137776576).

48139660800 is an abundant number, since it is smaller than the sum of its proper divisors (178135892352).

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

48139660800 is an equidigital number, since it uses as much as digits as its factorization.

48139660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 48139660800 in words is "forty-eight billion, one hundred thirty-nine million, six hundred sixty thousand, eight hundred".