90540057377 has 18 divisors (see below), whose sum is σ = 115767282834. Its totient is φ = 70550689440.

The previous prime is 90540057373. The next prime is 90540057383. The reversal of 90540057377 is 77375004509.

It can be written as a sum of positive squares in only one way, i.e., 88019615761 + 2520441616 = 296681^2 + 50204^2 .

It is not a de Polignac number, because 90540057377 - 2² = 90540057373 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90540057373) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7629428 + ... + 7641285.

It is an arithmetic number, because the mean of its divisors is an integer number (6431515713).

Almost surely, 2^90540057377 is an apocalyptic number.

It is an amenable number.

90540057377 is a deficient number, since it is larger than the sum of its proper divisors (25227225457).

90540057377 is a wasteful number, since it uses less digits than its factorization.

90540057377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15270749 (or 15270731 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 47.

The spelling of 90540057377 in words is "ninety billion, five hundred forty million, fifty-seven thousand, three hundred seventy-seven".