10700414592 has 256 divisors, whose sum is σ = 33444576000. Its totient is φ = 3029827584.

The previous prime is 10700414539. The next prime is 10700414597. The reversal of 10700414592 is 29541400701.

It is a happy number.

It is a super-2 number, since 2×10700414592² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10700414597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18044248 + ... + 18044840.

It is an arithmetic number, because the mean of its divisors is an integer number (130642875).

Almost surely, 2^10700414592 is an apocalyptic number.

10700414592 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 10700414592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722288000).

10700414592 is an abundant number, since it is smaller than the sum of its proper divisors (22744161408).

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

10700414592 is an equidigital number, since it uses as much as digits as its factorization.

10700414592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10700414592 in words is "ten billion, seven hundred million, four hundred fourteen thousand, five hundred ninety-two".