90499892490 has 128 divisors (see below), whose sum is σ = 276364800000. Its totient is φ = 20644020288.

The previous prime is 90499892489. The next prime is 90499892507. The reversal of 90499892490 is 9429899409.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 895131 + ... + 991089.

It is an arithmetic number, because the mean of its divisors is an integer number (2159100000).

Almost surely, 2^90499892490 is an apocalyptic number.

90499892490 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90499892490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138182400000).

90499892490 is an abundant number, since it is smaller than the sum of its proper divisors (185864907510).

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

90499892490 is a wasteful number, since it uses less digits than its factorization.

90499892490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96481 (or 96475 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 90499892490 in words is "ninety billion, four hundred ninety-nine million, eight hundred ninety-two thousand, four hundred ninety".