90957753420180 has 192 divisors, whose sum is σ = 272156318945280. Its totient is φ = 22617566724096.

The previous prime is 90957753420167. The next prime is 90957753420187. The reversal of 90957753420180 is 8102435775909.

It is a happy number.

It is a super-3 number, since 3×90957753420180³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90957753420187) 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 63 ways as a sum of consecutive naturals, for example, 2639729512 + ... + 2639763968.

It is an arithmetic number, because the mean of its divisors is an integer number (1417480827840).

Almost surely, 2^{90957753420180} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90957753420180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136078159472640).

90957753420180 is an abundant number, since it is smaller than the sum of its proper divisors (181198565525100).

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

90957753420180 is a wasteful number, since it uses less digits than its factorization.

90957753420180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58338 (or 58336 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 90957753420180 in words is "ninety trillion, nine hundred fifty-seven billion, seven hundred fifty-three million, four hundred twenty thousand, one hundred eighty".