9255201795840 has 3456 divisors, whose sum is σ = 43212932775936. Its totient is φ = 1637911756800.

The previous prime is 9255201795797. The next prime is 9255201795899. The reversal of 9255201795840 is 485971025529.

It is a super-2 number, since 2×9255201795840² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 30147236967 + ... + 30147237273.

Almost surely, 2^{9255201795840} 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 9255201795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21606466387968).

9255201795840 is an abundant number, since it is smaller than the sum of its proper divisors (33957730980096).

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

9255201795840 is a wasteful number, since it uses less digits than its factorization.

9255201795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 9255201795840 in words is "nine trillion, two hundred fifty-five billion, two hundred one million, seven hundred ninety-five thousand, eight hundred forty".