9002057839488 has 288 divisors, whose sum is σ = 30142781838000. Its totient is φ = 2571236462592.

The previous prime is 9002057839457. The next prime is 9002057839531. The reversal of 9002057839488 is 8849387502009.

9002057839488 is a `hidden beast` number, since 9 + 0 + 0 + 20 + 57 + 83 + 9 + 488 = 666.

9002057839488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200876028 + ... + 200920836.

Almost surely, 2^{9002057839488} is an apocalyptic number.

9002057839488 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9002057839488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071390919000).

9002057839488 is an abundant number, since it is smaller than the sum of its proper divisors (21140723998512).

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

9002057839488 is a wasteful number, since it uses less digits than its factorization.

9002057839488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48402 (or 48380 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 9002057839488 in words is "nine trillion, two billion, fifty-seven million, eight hundred thirty-nine thousand, four hundred eighty-eight".