99253267143264 has 768 divisors, whose sum is σ = 333278475264000. Its totient is φ = 28503695646720.

The previous prime is 99253267143257. The next prime is 99253267143269. The reversal of 99253267143264 is 46234176235299.

99253267143264 is a `hidden beast` number, since 9 + 9 + 2 + 5 + 326 + 7 + 1 + 43 + 264 = 666.

It is a super-2 number, since 2×99253267143264² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99253267143269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10067270367 + ... + 10067280225.

It is an arithmetic number, because the mean of its divisors is an integer number (433956348000).

Almost surely, 2^{99253267143264} 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 99253267143264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166639237632000).

99253267143264 is an abundant number, since it is smaller than the sum of its proper divisors (234025208120736).

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

99253267143264 is a wasteful number, since it uses less digits than its factorization.

99253267143264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10948 (or 10934 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 99253267143264 in words is "ninety-nine trillion, two hundred fifty-three billion, two hundred sixty-seven million, one hundred forty-three thousand, two hundred sixty-four".