48877079961600 has 2688 divisors, whose sum is σ = 205213195872000. Its totient is φ = 11390445158400.

The previous prime is 48877079961583. The next prime is 48877079961601. The reversal of 48877079961600 is 616997077884.

48877079961600 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 7 + 0 + 7 + 9 + 9 + 6 + 1 + 600 = 666.

It is a super-3 number, since 3×48877079961600³ (a number of 42 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48877079961601) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 213437030286 + ... + 213437030514.

Almost surely, 2^{48877079961600} is an apocalyptic number.

48877079961600 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 48877079961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102606597936000).

48877079961600 is an abundant number, since it is smaller than the sum of its proper divisors (156336115910400).

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

48877079961600 is a wasteful number, since it uses less digits than its factorization.

48877079961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 48877079961600 in words is "forty-eight trillion, eight hundred seventy-seven billion, seventy-nine million, nine hundred sixty-one thousand, six hundred".