48837363120 has 540 divisors, whose sum is σ = 206619918336. Its totient is φ = 10302888960.

The previous prime is 48837363101. The next prime is 48837363193. The reversal of 48837363120 is 2136373884.

48837363120 is a `hidden beast` number, since 4 + 8 + 8 + 3 + 7 + 3 + 631 + 2 + 0 = 666.

It is a super-2 number, since 2×48837363120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5958225 + ... + 5966415.

Almost surely, 2^48837363120 is an apocalyptic number.

48837363120 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 48837363120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103309959168).

48837363120 is an abundant number, since it is smaller than the sum of its proper divisors (157782555216).

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

48837363120 is a wasteful number, since it uses less digits than its factorization.

48837363120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8250 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 48837363120 in words is "forty-eight billion, eight hundred thirty-seven million, three hundred sixty-three thousand, one hundred twenty".