90027713790 has 256 divisors, whose sum is σ = 291565578240. Its totient is φ = 19296921600.

The previous prime is 90027713779. The next prime is 90027713801. The reversal of 90027713790 is 9731772009.

90027713790 is a `hidden beast` number, since 9 + 0 + 0 + 277 + 1 + 379 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90027713779) and next prime (90027713801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 9087840 + ... + 9097740.

It is an arithmetic number, because the mean of its divisors is an integer number (1138928040).

Almost surely, 2^90027713790 is an apocalyptic number.

90027713790 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90027713790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145782789120).

90027713790 is an abundant number, since it is smaller than the sum of its proper divisors (201537864450).

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

90027713790 is a wasteful number, since it uses less digits than its factorization.

90027713790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10218 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The spelling of 90027713790 in words is "ninety billion, twenty-seven million, seven hundred thirteen thousand, seven hundred ninety".