90393375685536 has 1152 divisors, whose sum is σ = 339841267863552. Its totient is φ = 23146794316800.

The previous prime is 90393375685511. The next prime is 90393375685537. The reversal of 90393375685536 is 63558657339309.

90393375685536 is a `hidden beast` number, since 9 + 0 + 3 + 9 + 3 + 3 + 7 + 5 + 6 + 85 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (90393375685537) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5143869646 + ... + 5143887218.

It is an arithmetic number, because the mean of its divisors is an integer number (295001100576).

Almost surely, 2^{90393375685536} is an apocalyptic number.

90393375685536 is a gapful number since it is divisible by the number (96) 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 90393375685536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169920633931776).

90393375685536 is an abundant number, since it is smaller than the sum of its proper divisors (249447892178016).

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

90393375685536 is a wasteful number, since it uses less digits than its factorization.

90393375685536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17709 (or 17667 counting only the distinct ones).

The product of its (nonzero) digits is 1653372000, while the sum is 72.

The spelling of 90393375685536 in words is "ninety trillion, three hundred ninety-three billion, three hundred seventy-five million, six hundred eighty-five thousand, five hundred thirty-six".