48099715840 has 288 divisors, whose sum is σ = 130280177664. Its totient is φ = 16860856320.

The previous prime is 48099715789. The next prime is 48099715871. The reversal of 48099715840 is 4851799084.

It is a happy number.

48099715840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48099715840³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66161557 + ... + 66162283.

It is an arithmetic number, because the mean of its divisors is an integer number (452361728).

Almost surely, 2^48099715840 is an apocalyptic number.

48099715840 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 48099715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65140088832).

48099715840 is an abundant number, since it is smaller than the sum of its proper divisors (82180461824).

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

48099715840 is a wasteful number, since it uses less digits than its factorization.

48099715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 48099715840 in words is "forty-eight billion, ninety-nine million, seven hundred fifteen thousand, eight hundred forty".