115269966639360 has 3456 divisors, whose sum is σ = 493448122944000. Its totient is φ = 25229414891520.

The previous prime is 115269966639337. The next prime is 115269966639361. The reversal of 115269966639360 is 63936669962511.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (115269966639361) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 416137063542 + ... + 416137063818.

Almost surely, 2^{115269966639360} is an apocalyptic number.

115269966639360 is a gapful number since it is divisible by the number (10) 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 115269966639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246724061472000).

115269966639360 is an abundant number, since it is smaller than the sum of its proper divisors (378178156304640).

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

115269966639360 is a wasteful number, since it uses less digits than its factorization.

115269966639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 510183360, while the sum is 72.

The spelling of 115269966639360 in words is "one hundred fifteen trillion, two hundred sixty-nine billion, nine hundred sixty-six million, six hundred thirty-nine thousand, three hundred sixty".