90375039347040 has 768 divisors, whose sum is σ = 382940703129600. Its totient is φ = 19433094414336.

The previous prime is 90375039346957. The next prime is 90375039347069. The reversal of 90375039347040 is 4074393057309.

90375039347040 is a `hidden beast` number, since 9 + 0 + 3 + 7 + 503 + 93 + 4 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1150985862 + ... + 1151064378.

It is an arithmetic number, because the mean of its divisors is an integer number (498620707200).

Almost surely, 2^{90375039347040} is an apocalyptic number.

90375039347040 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 90375039347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191470351564800).

90375039347040 is an abundant number, since it is smaller than the sum of its proper divisors (292565663782560).

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

90375039347040 is a wasteful number, since it uses less digits than its factorization.

90375039347040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80804 (or 80790 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 90375039347040 in words is "ninety trillion, three hundred seventy-five billion, thirty-nine million, three hundred forty-seven thousand, forty".