11406120960 has 288 divisors, whose sum is σ = 39531557520. Its totient is φ = 2807660544.

The previous prime is 11406120893. The next prime is 11406121031. The reversal of 11406120960 is 6902160411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877393914 + ... + 877393926.

Almost surely, 2^11406120960 is an apocalyptic number.

11406120960 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 11406120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19765778760).

11406120960 is an abundant number, since it is smaller than the sum of its proper divisors (28125436560).

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

11406120960 is an frugal number, since it uses more digits than its factorization.

11406120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

11406120960 divided by its sum of digits (30) gives a 5-th power (380204032 = 52⁵).

The spelling of 11406120960 in words is "eleven billion, four hundred six million, one hundred twenty thousand, nine hundred sixty".