8153826550272 has 800 divisors, whose sum is σ = 27989138580480. Its totient is φ = 2344077066240.

The previous prime is 8153826550271. The next prime is 8153826550273. The reversal of 8153826550272 is 2720556283518.

It is a happy number.

8153826550272 is a `hidden beast` number, since 8 + 1 + 5 + 3 + 8 + 2 + 65 + 502 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (8153826550271) and next prime (8153826550273).

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

It is not an unprimeable number, because it can be changed into a prime (8153826550271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 484674853 + ... + 484691675.

Almost surely, 2^{8153826550272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8153826550272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994569290240).

8153826550272 is an abundant number, since it is smaller than the sum of its proper divisors (19835312030208).

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

8153826550272 is a wasteful number, since it uses less digits than its factorization.

8153826550272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16926 (or 16901 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 8153826550272 in words is "eight trillion, one hundred fifty-three billion, eight hundred twenty-six million, five hundred fifty thousand, two hundred seventy-two".