1080199635840 has 1024 divisors, whose sum is σ = 4216792608000. Its totient is φ = 259730178048.

The previous prime is 1080199635839. The next prime is 1080199635871. The reversal of 1080199635840 is 485369910801.

It is a super-2 number, since 2×1080199635840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1939316842 + ... + 1939317398.

Almost surely, 2^{1080199635840} is an apocalyptic number.

1080199635840 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 1080199635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108396304000).

1080199635840 is an abundant number, since it is smaller than the sum of its proper divisors (3136592972160).

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

1080199635840 is a wasteful number, since it uses less digits than its factorization.

1080199635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1080199635840 in words is "one trillion, eighty billion, one hundred ninety-nine million, six hundred thirty-five thousand, eight hundred forty".