48376356874560 has 2688 divisors, whose sum is σ = 206670669004800. Its totient is φ = 10617323028480.

The previous prime is 48376356874501. The next prime is 48376356874561. The reversal of 48376356874560 is 6547865367384.

48376356874560 is a `hidden beast` number, since 4 + 8 + 3 + 7 + 6 + 3 + 56 + 8 + 7 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48376356874561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 202411534921 + ... + 202411535159.

It is an arithmetic number, because the mean of its divisors is an integer number (76886409600).

Almost surely, 2^{48376356874560} is an apocalyptic number.

48376356874560 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 48376356874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103335334502400).

48376356874560 is an abundant number, since it is smaller than the sum of its proper divisors (158294312130240).

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

48376356874560 is a wasteful number, since it uses less digits than its factorization.

48376356874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2438553600, while the sum is 72.

The spelling of 48376356874560 in words is "forty-eight trillion, three hundred seventy-six billion, three hundred fifty-six million, eight hundred seventy-four thousand, five hundred sixty".