90292353761280 has 1824 divisors, whose sum is σ = 341880892157952. Its totient is φ = 20280130928640.

The previous prime is 90292353761209. The next prime is 90292353761287. The reversal of 90292353761280 is 8216735329209.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90292353761280.

It is not an unprimeable number, because it can be changed into a prime (90292353761287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404898447249 + ... + 404898447471.

It is an arithmetic number, because the mean of its divisors is an integer number (187434699648).

Almost surely, 2^{90292353761280} 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 90292353761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170940446078976).

90292353761280 is an abundant number, since it is smaller than the sum of its proper divisors (251588538396672).

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

90292353761280 is a wasteful number, since it uses less digits than its factorization.

90292353761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 90292353761280 in words is "ninety trillion, two hundred ninety-two billion, three hundred fifty-three million, seven hundred sixty-one thousand, two hundred eighty".