1080025578240 has 288 divisors, whose sum is σ = 3976990327296. Its totient is φ = 244677672960.

The previous prime is 1080025578199. The next prime is 1080025578283. The reversal of 1080025578240 is 428755200801.

It is a super-2 number, since 2×1080025578240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1080025578192 and 1080025578201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2859655 + ... + 3215225.

It is an arithmetic number, because the mean of its divisors is an integer number (13808994192).

Almost surely, 2^{1080025578240} is an apocalyptic number.

1080025578240 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 1080025578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988495163648).

1080025578240 is an abundant number, since it is smaller than the sum of its proper divisors (2896964749056).

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

1080025578240 is a wasteful number, since it uses less digits than its factorization.

1080025578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355715 (or 355701 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 1080025578240 in words is "one trillion, eighty billion, twenty-five million, five hundred seventy-eight thousand, two hundred forty".