997765902282240 has 5120 divisors, whose sum is σ = 4729785274368000. Its totient is φ = 195945238757376.

The previous prime is 997765902282143. The next prime is 997765902282377. The reversal of 997765902282240 is 42282209567799.

997765902282240 is a `hidden beast` number, since 9 + 9 + 7 + 7 + 6 + 590 + 2 + 2 + 8 + 2 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 571131025047 + ... + 571131026793.

It is an arithmetic number, because the mean of its divisors is an integer number (923786186400).

Almost surely, 2^{997765902282240} is an apocalyptic number.

997765902282240 is a gapful number since it is divisible by the number (90) 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 997765902282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364892637184000).

997765902282240 is an abundant number, since it is smaller than the sum of its proper divisors (3732019372085760).

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

997765902282240 is a wasteful number, since it uses less digits than its factorization.

997765902282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 997765902282240 in words is "nine hundred ninety-seven trillion, seven hundred sixty-five billion, nine hundred two million, two hundred eighty-two thousand, two hundred forty".