48780642960 has 400 divisors, whose sum is σ = 202048425216. Its totient is φ = 10664856576.

The previous prime is 48780642923. The next prime is 48780642971. The reversal of 48780642960 is 6924608784.

48780642960 is a `hidden beast` number, since 4 + 87 + 80 + 6 + 429 + 60 = 666.

It is a super-2 number, since 2×48780642960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48780642897 and 48780642906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1019902 + ... + 1066658.

Almost surely, 2^48780642960 is an apocalyptic number.

48780642960 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 48780642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101024212608).

48780642960 is an abundant number, since it is smaller than the sum of its proper divisors (153267782256).

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

48780642960 is a wasteful number, since it uses less digits than its factorization.

48780642960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46812 (or 46797 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 48780642960 in words is "forty-eight billion, seven hundred eighty million, six hundred forty-two thousand, nine hundred sixty".