90033768538340 has 384 divisors, whose sum is σ = 227247834562560. Its totient is φ = 29617687756800.

The previous prime is 90033768538297. The next prime is 90033768538381. The reversal of 90033768538340 is 4383586733009.

90033768538340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90033768538340.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2136568991 + ... + 2136611129.

It is an arithmetic number, because the mean of its divisors is an integer number (591791235840).

Almost surely, 2^{90033768538340} 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 90033768538340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113623917281280).

90033768538340 is an abundant number, since it is smaller than the sum of its proper divisors (137214066024220).

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

90033768538340 is a wasteful number, since it uses less digits than its factorization.

90033768538340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42523 (or 42521 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 59.

The spelling of 90033768538340 in words is "ninety trillion, thirty-three billion, seven hundred sixty-eight million, five hundred thirty-eight thousand, three hundred forty".