10587396096 has 216 divisors, whose sum is σ = 31715496540. Its totient is φ = 3402448896.

The previous prime is 10587396073. The next prime is 10587396097. The reversal of 10587396096 is 69069378501.

It is a super-2 number, since 2×10587396096² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10587396097) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15500971 + ... + 15501653.

Almost surely, 2^10587396096 is an apocalyptic number.

10587396096 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 10587396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857748270).

10587396096 is an abundant number, since it is smaller than the sum of its proper divisors (21128100444).

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

10587396096 is an equidigital number, since it uses as much as digits as its factorization.

10587396096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 10587396096 in words is "ten billion, five hundred eighty-seven million, three hundred ninety-six thousand, ninety-six".