8251938495360 has 1024 divisors, whose sum is σ = 33880202496000. Its totient is φ = 1859240853504.

The previous prime is 8251938495337. The next prime is 8251938495389. The reversal of 8251938495360 is 635948391528.

8251938495360 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 93 + 8 + 4 + 9 + 536 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 3250072971 + ... + 3250075509.

It is an arithmetic number, because the mean of its divisors is an integer number (33086135250).

Almost surely, 2^{8251938495360} is an apocalyptic number.

8251938495360 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 8251938495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16940101248000).

8251938495360 is an abundant number, since it is smaller than the sum of its proper divisors (25628264000640).

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

8251938495360 is a wasteful number, since it uses less digits than its factorization.

8251938495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 8251938495360 in words is "eight trillion, two hundred fifty-one billion, nine hundred thirty-eight million, four hundred ninety-five thousand, three hundred sixty".