48000288290976 has 216 divisors, whose sum is σ = 158855544387540. Its totient is φ = 13708419250176.

The previous prime is 48000288290897. The next prime is 48000288291079. The reversal of 48000288290976 is 67909288200084.

48000288290976 is a `hidden beast` number, since 480 + 0 + 0 + 2 + 8 + 82 + 9 + 0 + 9 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47921338530576 + 78949760400 = 6922524^2 + 280980^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31848060 + ... + 33321156.

Almost surely, 2^{48000288290976} 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 48000288290976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79427772193770).

48000288290976 is an abundant number, since it is smaller than the sum of its proper divisors (110855256096564).

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

48000288290976 is a wasteful number, since it uses less digits than its factorization.

48000288290976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475436 (or 1475418 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 48000288290976 in words is "forty-eight trillion, two hundred eighty-eight million, two hundred ninety thousand, nine hundred seventy-six".