90505953857390 has 96 divisors (see below), whose sum is σ = 174307504370400. Its totient is φ = 33826933876736.

The previous prime is 90505953857377. The next prime is 90505953857393. The reversal of 90505953857390 is 9375835950509.

It is a super-2 number, since 2×90505953857390² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90505953857390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90505953857393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862459364 + ... + 862564296.

It is an arithmetic number, because the mean of its divisors is an integer number (1815703170525).

Almost surely, 2^{90505953857390} is an apocalyptic number.

90505953857390 is a deficient number, since it is larger than the sum of its proper divisors (83801550513010).

90505953857390 is a wasteful number, since it uses less digits than its factorization.

90505953857390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107126 (or 107109 counting only the distinct ones).

The product of its (nonzero) digits is 229635000, while the sum is 68.

The spelling of 90505953857390 in words is "ninety trillion, five hundred five billion, nine hundred fifty-three million, eight hundred fifty-seven thousand, three hundred ninety".