11651396866560 has 800 divisors, whose sum is σ = 45854174520000. Its totient is φ = 2804184023040.

The previous prime is 11651396866519. The next prime is 11651396866567. The reversal of 11651396866560 is 6566869315611.

11651396866560 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 1 + 3 + 9 + 6 + 8 + 66 + 560 = 666.

It is not an unprimeable number, because it can be changed into a prime (11651396866567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 317035066 + ... + 317071814.

It is an arithmetic number, because the mean of its divisors is an integer number (57317718150).

Almost surely, 2^{11651396866560} is an apocalyptic number.

11651396866560 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 11651396866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22927087260000).

11651396866560 is an abundant number, since it is smaller than the sum of its proper divisors (34202777653440).

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

11651396866560 is a wasteful number, since it uses less digits than its factorization.

11651396866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36934 (or 36909 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 11651396866560 in words is "eleven trillion, six hundred fifty-one billion, three hundred ninety-six million, eight hundred sixty-six thousand, five hundred sixty".