89911827072 has 384 divisors, whose sum is σ = 272617909200. Its totient is φ = 28417720320.

The previous prime is 89911827053. The next prime is 89911827091. The reversal of 89911827072 is 27072811998.

It is an interprime number because it is at equal distance from previous prime (89911827053) and next prime (89911827091).

It can be written as a sum of positive squares in 8 ways, for example, as 32668393536 + 57243433536 = 180744^2 + 239256^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306866158 + ... + 306866450.

Almost surely, 2^89911827072 is an apocalyptic number.

89911827072 is a gapful number since it is divisible by the number (82) 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 89911827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136308954600).

89911827072 is an abundant number, since it is smaller than the sum of its proper divisors (182706082128).

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

89911827072 is a wasteful number, since it uses less digits than its factorization.

89911827072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 89911827072 in words is "eighty-nine billion, nine hundred eleven million, eight hundred twenty-seven thousand, seventy-two".