48768603559956 has 288 divisors, whose sum is σ = 143067490325760. Its totient is φ = 13720111257600.

The previous prime is 48768603559937. The next prime is 48768603559981. The reversal of 48768603559956 is 65995530686784.

48768603559956 is a `hidden beast` number, since 4 + 8 + 7 + 6 + 8 + 6 + 0 + 3 + 559 + 9 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882126376 + ... + 2882143296.

Almost surely, 2^{48768603559956} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48768603559956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71533745162880).

48768603559956 is an abundant number, since it is smaller than the sum of its proper divisors (94298886765804).

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

48768603559956 is a wasteful number, since it uses less digits than its factorization.

48768603559956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17695 (or 17690 counting only the distinct ones).

The product of its (nonzero) digits is 11757312000, while the sum is 81.

The spelling of 48768603559956 in words is "forty-eight trillion, seven hundred sixty-eight billion, six hundred three million, five hundred fifty-nine thousand, nine hundred fifty-six".