1120025291616 has 480 divisors, whose sum is σ = 4184284946688. Its totient is φ = 285423989760.

The previous prime is 1120025291579. The next prime is 1120025291617. The reversal of 1120025291616 is 6161925200211.

1120025291616 is a `hidden beast` number, since 1 + 12 + 0 + 0 + 2 + 5 + 29 + 1 + 616 = 666.

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 (1120025291617) 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, 10525011 + ... + 10630893.

Almost surely, 2^{1120025291616} is an apocalyptic number.

1120025291616 is a gapful number since it is divisible by the number (16) 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 1120025291616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092142473344).

1120025291616 is an abundant number, since it is smaller than the sum of its proper divisors (3064259655072).

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

1120025291616 is a wasteful number, since it uses less digits than its factorization.

1120025291616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105976 (or 105959 counting only the distinct ones).

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

The spelling of 1120025291616 in words is "one trillion, one hundred twenty billion, twenty-five million, two hundred ninety-one thousand, six hundred sixteen".