48000808088832 has 288 divisors, whose sum is σ = 132570907628544. Its totient is φ = 15405907968000.

The previous prime is 48000808088813. The next prime is 48000808088837. The reversal of 48000808088832 is 23888080800084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48000808088837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9089338032 + ... + 9089343312.

It is an arithmetic number, because the mean of its divisors is an integer number (460315651488).

Almost surely, 2^{48000808088832} 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 48000808088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66285453814272).

48000808088832 is an abundant number, since it is smaller than the sum of its proper divisors (84570099539712).

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

48000808088832 is a wasteful number, since it uses less digits than its factorization.

48000808088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8605 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 57.

The spelling of 48000808088832 in words is "forty-eight trillion, eight hundred eight million, eighty-eight thousand, eight hundred thirty-two".