852293749440 has 224 divisors, whose sum is σ = 3255378117120. Its totient is φ = 184556814336.

The previous prime is 852293749423. The next prime is 852293749441. The reversal of 852293749440 is 44947392258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (852293749441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3209937 + ... + 3465296.

Almost surely, 2^852293749440 is an apocalyptic number.

852293749440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852293749440 is an abundant number, since it is smaller than the sum of its proper divisors (2403084367680).

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

852293749440 is a wasteful number, since it uses less digits than its factorization.

852293749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675279 (or 6675269 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 852293749440 in words is "eight hundred fifty-two billion, two hundred ninety-three million, seven hundred forty-nine thousand, four hundred forty".