90158587272000 has 896 divisors, whose sum is σ = 359032949882880. Its totient is φ = 22018048819200.

The previous prime is 90158587271981. The next prime is 90158587272059. The reversal of 90158587272000 is 27278585109.

90158587272000 is a `hidden beast` number, since 9 + 0 + 1 + 58 + 587 + 2 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 356489592 + ... + 356742408.

It is an arithmetic number, because the mean of its divisors is an integer number (400706417280).

Almost surely, 2^{90158587272000} is an apocalyptic number.

90158587272000 is a gapful number since it is divisible by the number (90) 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 90158587272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179516474941440).

90158587272000 is an abundant number, since it is smaller than the sum of its proper divisors (268874362610880).

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

90158587272000 is a wasteful number, since it uses less digits than its factorization.

90158587272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252993 (or 252967 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 90158587272000 in words is "ninety trillion, one hundred fifty-eight billion, five hundred eighty-seven million, two hundred seventy-two thousand".