10226970696096 has 2304 divisors, whose sum is σ = 41114104012800. Its totient is φ = 2412197314560.

The previous prime is 10226970696083. The next prime is 10226970696097. The reversal of 10226970696096 is 69069607962201.

10226970696096 is a `hidden beast` number, since 10 + 2 + 2 + 6 + 9 + 7 + 0 + 6 + 9 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10226970696097) 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, 52989485376 + ... + 52989485568.

It is an arithmetic number, because the mean of its divisors is an integer number (17844663200).

Almost surely, 2^{10226970696096} is an apocalyptic number.

10226970696096 is a gapful number since it is divisible by the number (16) 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 10226970696096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20557052006400).

10226970696096 is an abundant number, since it is smaller than the sum of its proper divisors (30887133316704).

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

10226970696096 is a wasteful number, since it uses less digits than its factorization.

10226970696096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 10226970696096 in words is "ten trillion, two hundred twenty-six billion, nine hundred seventy million, six hundred ninety-six thousand, ninety-six".