1080025436160 has 1248 divisors, whose sum is σ = 4297687954560. Its totient is φ = 257989017600.

The previous prime is 1080025436141. The next prime is 1080025436179. The reversal of 1080025436160 is 616345200801.

It is a happy number.

1080025436160 is a `hidden beast` number, since 10 + 8 + 0 + 0 + 25 + 4 + 3 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1080025436141) and next prime (1080025436179).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5966991270 + ... + 5966991450.

It is an arithmetic number, because the mean of its divisors is an integer number (3443660220).

Almost surely, 2^{1080025436160} is an apocalyptic number.

1080025436160 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 1080025436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148843977280).

1080025436160 is an abundant number, since it is smaller than the sum of its proper divisors (3217662518400).

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

1080025436160 is a wasteful number, since it uses less digits than its factorization.

1080025436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1080025436160 in words is "one trillion, eighty billion, twenty-five million, four hundred thirty-six thousand, one hundred sixty".