11430712552680 has 192 divisors, whose sum is σ = 39922191541440. Its totient is φ = 2826065442816.

The previous prime is 11430712552673. The next prime is 11430712552789. The reversal of 11430712552680 is 8625521703411.

11430712552680 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 0 + 7 + 12 + 552 + 6 + 80 = 666.

It is a super-2 number, since 2×11430712552680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13528494 + ... + 14348573.

It is an arithmetic number, because the mean of its divisors is an integer number (207928080945).

Almost surely, 2^{11430712552680} is an apocalyptic number.

11430712552680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11430712552680 is an abundant number, since it is smaller than the sum of its proper divisors (28491478988760).

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

11430712552680 is a wasteful number, since it uses less digits than its factorization.

11430712552680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27877168 (or 27877161 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 11430712552680 in words is "eleven trillion, four hundred thirty billion, seven hundred twelve million, five hundred fifty-two thousand, six hundred eighty".