11351861095680 has 2592 divisors, whose sum is σ = 50852017472256. Its totient is φ = 2368339181568.

The previous prime is 11351861095649. The next prime is 11351861095739. The reversal of 11351861095680 is 8659016815311.

11351861095680 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 18 + 61 + 0 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×11351861095680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36976746087 + ... + 36976746393.

Almost surely, 2^{11351861095680} is an apocalyptic number.

11351861095680 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 11351861095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25426008736128).

11351861095680 is an abundant number, since it is smaller than the sum of its proper divisors (39500156376576).

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

11351861095680 is an frugal number, since it uses more digits than its factorization.

11351861095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 11351861095680 in words is "eleven trillion, three hundred fifty-one billion, eight hundred sixty-one million, ninety-five thousand, six hundred eighty".