90041952000 has 1152 divisors, whose sum is σ = 401982916608. Its totient is φ = 17252352000.

The previous prime is 90041951983. The next prime is 90041952001. The reversal of 90041952000 is 25914009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90041952001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96095532 + ... + 96096468.

It is an arithmetic number, because the mean of its divisors is an integer number (348943504).

Almost surely, 2^90041952000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90041952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200991458304).

90041952000 is an abundant number, since it is smaller than the sum of its proper divisors (311940964608).

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

90041952000 is a wasteful number, since it uses less digits than its factorization.

90041952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 90041952000 in words is "ninety billion, forty-one million, nine hundred fifty-two thousand".