8153053735680 has 648 divisors, whose sum is σ = 32859197306208. Its totient is φ = 1828342923264.

The previous prime is 8153053735483. The next prime is 8153053735691. The reversal of 8153053735680 is 865373503518.

8153053735680 is a `hidden beast` number, since 8 + 1 + 5 + 3 + 0 + 5 + 3 + 73 + 568 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 226499764 + ... + 226535756.

Almost surely, 2^{8153053735680} is an apocalyptic number.

8153053735680 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 8153053735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429598653104).

8153053735680 is an abundant number, since it is smaller than the sum of its proper divisors (24706143570528).

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

8153053735680 is a wasteful number, since it uses less digits than its factorization.

8153053735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36133 (or 36063 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 8153053735680 in words is "eight trillion, one hundred fifty-three billion, fifty-three million, seven hundred thirty-five thousand, six hundred eighty".