8151097936320 has 280 divisors, whose sum is σ = 29392086436944. Its totient is φ = 2143849918464.

The previous prime is 8151097936291. The next prime is 8151097936343. The reversal of 8151097936320 is 236397901518.

8151097936320 is a `hidden beast` number, since 8 + 1 + 510 + 9 + 7 + 93 + 6 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 261754 + ... + 4046073.

Almost surely, 2^{8151097936320} is an apocalyptic number.

8151097936320 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 8151097936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696043218472).

8151097936320 is an abundant number, since it is smaller than the sum of its proper divisors (21240988500624).

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

8151097936320 is a wasteful number, since it uses less digits than its factorization.

8151097936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307929 (or 4307910 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 8151097936320 in words is "eight trillion, one hundred fifty-one billion, ninety-seven million, nine hundred thirty-six thousand, three hundred twenty".