90865167849610 has 192 divisors, whose sum is σ = 206680675090176. Its totient is φ = 28153880156160.

The previous prime is 90865167849601. The next prime is 90865167849637. The reversal of 90865167849610 is 1694876156809.

It is a happy number.

90865167849610 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 (70) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 90865167849610.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1015855549 + ... + 1015944991.

It is an arithmetic number, because the mean of its divisors is an integer number (1076461849428).

Almost surely, 2^{90865167849610} is an apocalyptic number.

90865167849610 is an abundant number, since it is smaller than the sum of its proper divisors (115815507240566).

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

90865167849610 is a wasteful number, since it uses less digits than its factorization.

90865167849610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90189 (or 90178 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 70.

The spelling of 90865167849610 in words is "ninety trillion, eight hundred sixty-five billion, one hundred sixty-seven million, eight hundred forty-nine thousand, six hundred ten".