90901354500 has 288 divisors, whose sum is σ = 331237880064. Its totient is φ = 20740224000.

The previous prime is 90901354499. The next prime is 90901354501. The reversal of 90901354500 is 545310909.

90901354500 is a `hidden beast` number, since 9 + 0 + 90 + 13 + 54 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (90901354499) and next prime (90901354501).

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

It is not an unprimeable number, because it can be changed into a prime (90901354501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 787489 + ... + 895511.

It is an arithmetic number, because the mean of its divisors is an integer number (1150131528).

Almost surely, 2^90901354500 is an apocalyptic number.

90901354500 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 90901354500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165618940032).

90901354500 is an abundant number, since it is smaller than the sum of its proper divisors (240336525564).

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

90901354500 is a wasteful number, since it uses less digits than its factorization.

90901354500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108076 (or 108061 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 90901354500 in words is "ninety billion, nine hundred one million, three hundred fifty-four thousand, five hundred".