48703632520 has 384 divisors, whose sum is σ = 132411801600. Its totient is φ = 16027545600.

The previous prime is 48703632511. The next prime is 48703632529. The reversal of 48703632520 is 2523630784.

It is an interprime number because it is at equal distance from previous prime (48703632511) and next prime (48703632529).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (48703632529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156603165 + ... + 156603475.

It is an arithmetic number, because the mean of its divisors is an integer number (344822400).

Almost surely, 2^48703632520 is an apocalyptic number.

48703632520 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 48703632520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66205900800).

48703632520 is an abundant number, since it is smaller than the sum of its proper divisors (83708169080).

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

48703632520 is a wasteful number, since it uses less digits than its factorization.

48703632520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 48703632520 in words is "forty-eight billion, seven hundred three million, six hundred thirty-two thousand, five hundred twenty".