90825211554 has 96 divisors (see below), whose sum is σ = 237953728512. Its totient is φ = 22829940000.

The previous prime is 90825211537. The next prime is 90825211559. The reversal of 90825211554 is 45511252809.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (90825211559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352722 + ... + 553229.

It is an arithmetic number, because the mean of its divisors is an integer number (2478684672).

Almost surely, 2^90825211554 is an apocalyptic number.

90825211554 is an abundant number, since it is smaller than the sum of its proper divisors (147128516958).

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

90825211554 is a wasteful number, since it uses less digits than its factorization.

90825211554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906012 (or 906005 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 90825211554 in words is "ninety billion, eight hundred twenty-five million, two hundred eleven thousand, five hundred fifty-four".