89876056048632 has 640 divisors, whose sum is σ = 300322138152960. Its totient is φ = 24571841495040.

The previous prime is 89876056048567. The next prime is 89876056048679. The reversal of 89876056048632 is 23684065067898.

89876056048632 is a `hidden beast` number, since 8 + 9 + 8 + 7 + 6 + 0 + 5 + 604 + 8 + 6 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6880193733 + ... + 6880206795.

It is an arithmetic number, because the mean of its divisors is an integer number (469253340864).

Almost surely, 2^{89876056048632} 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 89876056048632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150161069076480).

89876056048632 is an abundant number, since it is smaller than the sum of its proper divisors (210446082104328).

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

89876056048632 is a wasteful number, since it uses less digits than its factorization.

89876056048632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13665 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 89876056048632 in words is "eighty-nine trillion, eight hundred seventy-six billion, fifty-six million, forty-eight thousand, six hundred thirty-two".