90999261000 has 256 divisors, whose sum is σ = 315832608000. Its totient is φ = 24238137600.

The previous prime is 90999260959. The next prime is 90999261061. The reversal of 90999261000 is 16299909.

It is a happy number.

It is a super-2 number, since 2×90999261000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33991662 + ... + 33994338.

It is an arithmetic number, because the mean of its divisors is an integer number (1233721125).

Almost surely, 2^90999261000 is an apocalyptic number.

90999261000 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 90999261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157916304000).

90999261000 is an abundant number, since it is smaller than the sum of its proper divisors (224833347000).

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

90999261000 is a wasteful number, since it uses less digits than its factorization.

90999261000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 90999261000 in words is "ninety billion, nine hundred ninety-nine million, two hundred sixty-one thousand".