10268894587392 has 480 divisors, whose sum is σ = 34782074376192. Its totient is φ = 2855885340672.

The previous prime is 10268894587351. The next prime is 10268894587421. The reversal of 10268894587392 is 29378549886201.

10268894587392 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 8 + 8 + 9 + 4 + 587 + 39 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10268894587392.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217091488 + ... + 217138784.

It is a 1-persistent number, because it is pandigital, but 2⋅10268894587392 = 20537789174784 is not.

Almost surely, 2^{10268894587392} is an apocalyptic number.

10268894587392 is a gapful number since it is divisible by the number (12) 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 10268894587392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17391037188096).

10268894587392 is an abundant number, since it is smaller than the sum of its proper divisors (24513179788800).

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

10268894587392 is a wasteful number, since it uses less digits than its factorization.

10268894587392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47508 (or 47489 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 10268894587392 in words is "ten trillion, two hundred sixty-eight billion, eight hundred ninety-four million, five hundred eighty-seven thousand, three hundred ninety-two".