11296516560 has 240 divisors, whose sum is σ = 41360531328. Its totient is φ = 2498411520.

The previous prime is 11296516559. The next prime is 11296516577. The reversal of 11296516560 is 6561569211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11296516560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1610982 + ... + 1617978.

Almost surely, 2^11296516560 is an apocalyptic number.

11296516560 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 11296516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20680265664).

11296516560 is an abundant number, since it is smaller than the sum of its proper divisors (30064014768).

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

11296516560 is a wasteful number, since it uses less digits than its factorization.

11296516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 11296516560 in words is "eleven billion, two hundred ninety-six million, five hundred sixteen thousand, five hundred sixty".