48731679561600 has 1152 divisors, whose sum is σ = 206300609249280. Its totient is φ = 11127120076800.

The previous prime is 48731679561583. The next prime is 48731679561601. The reversal of 48731679561600 is 616597613784.

48731679561600 is a `hidden beast` number, since 4 + 8 + 7 + 3 + 1 + 6 + 7 + 9 + 5 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48731679561601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5949413505 + ... + 5949421695.

Almost surely, 2^{48731679561600} is an apocalyptic number.

48731679561600 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 48731679561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103150304624640).

48731679561600 is an abundant number, since it is smaller than the sum of its proper divisors (157568929687680).

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

48731679561600 is a wasteful number, since it uses less digits than its factorization.

48731679561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9330 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 48731679561600 in words is "forty-eight trillion, seven hundred thirty-one billion, six hundred seventy-nine million, five hundred sixty-one thousand, six hundred".