90007257861 has 16 divisors (see below), whose sum is σ = 137645509120. Its totient is φ = 58069198080.

The previous prime is 90007257853. The next prime is 90007257883. The reversal of 90007257861 is 16875270009.

90007257861 is a `hidden beast` number, since 9 + 0 + 0 + 0 + 72 + 578 + 6 + 1 = 666.

It is not a de Polignac number, because 90007257861 - 2³ = 90007257853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90007255861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53766940 + ... + 53768613.

It is an arithmetic number, because the mean of its divisors is an integer number (8602844320).

Almost surely, 2^90007257861 is an apocalyptic number.

It is an amenable number.

90007257861 is a deficient number, since it is larger than the sum of its proper divisors (47638251259).

90007257861 is a wasteful number, since it uses less digits than its factorization.

90007257861 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107535593 (or 107535587 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 90007257861 in words is "ninety billion, seven million, two hundred fifty-seven thousand, eight hundred sixty-one".