90661248000 has 704 divisors, whose sum is σ = 344623094400. Its totient is φ = 23489740800.

The previous prime is 90661247983. The next prime is 90661248017. The reversal of 90661248000 is 84216609.

It is an interprime number because it is at equal distance from previous prime (90661247983) and next prime (90661248017).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127871646 + ... + 127872354.

Almost surely, 2^90661248000 is an apocalyptic number.

90661248000 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 90661248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172311547200).

90661248000 is an abundant number, since it is smaller than the sum of its proper divisors (253961846400).

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

90661248000 is a wasteful number, since it uses less digits than its factorization.

90661248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 90661248000 in words is "ninety billion, six hundred sixty-one million, two hundred forty-eight thousand".