8157397248000 has 4608 divisors, whose sum is σ = 41252767395840. Its totient is φ = 1552711680000.

The previous prime is 8157397247983. The next prime is 8157397248059. The reversal of 8157397248000 is 8427937518.

It is a happy number.

8157397248000 is a `hidden beast` number, since 8 + 1 + 5 + 7 + 397 + 248 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

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 383 ways as a sum of consecutive naturals, for example, 62270207935 + ... + 62270208065.

It is an arithmetic number, because the mean of its divisors is an integer number (8952423480).

Almost surely, 2^{8157397248000} is an apocalyptic number.

8157397248000 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 8157397248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20626383697920).

8157397248000 is an abundant number, since it is smaller than the sum of its proper divisors (33095370147840).

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

8157397248000 is a wasteful number, since it uses less digits than its factorization.

8157397248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 8157397248000 in words is "eight trillion, one hundred fifty-seven billion, three hundred ninety-seven million, two hundred forty-eight thousand".