48415825920 has 1344 divisors, whose sum is σ = 213003115776. Its totient is φ = 9248440320.

The previous prime is 48415825919. The next prime is 48415825933. The reversal of 48415825920 is 2952851484.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48415825920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1125949419 + ... + 1125949461.

Almost surely, 2^48415825920 is an apocalyptic number.

48415825920 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 48415825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106501557888).

48415825920 is an abundant number, since it is smaller than the sum of its proper divisors (164587289856).

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

48415825920 is a wasteful number, since it uses less digits than its factorization.

48415825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 48415825920 in words is "forty-eight billion, four hundred fifteen million, eight hundred twenty-five thousand, nine hundred twenty".