8253691131840 has 1344 divisors, whose sum is σ = 33860840624640. Its totient is φ = 1684041891840.

The previous prime is 8253691131797. The next prime is 8253691131859. The reversal of 8253691131840 is 481311963528.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13333911051 + ... + 13333911669.

Almost surely, 2^{8253691131840} is an apocalyptic number.

8253691131840 is a gapful number since it is divisible by the number (80) 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 8253691131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930420312320).

8253691131840 is an abundant number, since it is smaller than the sum of its proper divisors (25607149492800).

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

8253691131840 is a wasteful number, since it uses less digits than its factorization.

8253691131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 8253691131840 in words is "eight trillion, two hundred fifty-three billion, six hundred ninety-one million, one hundred thirty-one thousand, eight hundred forty".