48588388715520 has 528 divisors, whose sum is σ = 174793834904832. Its totient is φ = 12466396200960.

The previous prime is 48588388715519. The next prime is 48588388715549. The reversal of 48588388715520 is 2551788388584.

48588388715520 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 8 + 3 + 8 + 87 + 15 + 520 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247028734 + ... + 247225346.

It is an arithmetic number, because the mean of its divisors is an integer number (331048929744).

Almost surely, 2^{48588388715520} is an apocalyptic number.

48588388715520 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 48588388715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87396917452416).

48588388715520 is an abundant number, since it is smaller than the sum of its proper divisors (126205446189312).

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

48588388715520 is a wasteful number, since it uses less digits than its factorization.

48588388715520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196848 (or 196827 counting only the distinct ones).

The product of its (nonzero) digits is 688128000, while the sum is 72.

The spelling of 48588388715520 in words is "forty-eight trillion, five hundred eighty-eight billion, three hundred eighty-eight million, seven hundred fifteen thousand, five hundred twenty".