11412961560000 has 7840 divisors, whose sum is σ = 62944520905728. Its totient is φ = 1970749440000.

The previous prime is 11412961559969. The next prime is 11412961560001. The reversal of 11412961560000 is 6516921411.

11412961560000 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 96 + 1 + 560 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412961560001) by changing a digit.

It is a polite number, since it can be written in 1119 ways as a sum of consecutive naturals, for example, 496215719989 + ... + 496215720011.

Almost surely, 2^{11412961560000} is an apocalyptic number.

11412961560000 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 11412961560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31472260452864).

11412961560000 is an abundant number, since it is smaller than the sum of its proper divisors (51531559345728).

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

11412961560000 is a wasteful number, since it uses less digits than its factorization.

11412961560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11412961560000 in words is "eleven trillion, four hundred twelve billion, nine hundred sixty-one million, five hundred sixty thousand".