1070807860800 has 336 divisors, whose sum is σ = 3910102416000. Its totient is φ = 285065164800.

The previous prime is 1070807860763. The next prime is 1070807860831. The reversal of 1070807860800 is 80687080701.

It is a super-2 number, since 2×1070807860800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25856110 + ... + 25897490.

Almost surely, 2^{1070807860800} is an apocalyptic number.

1070807860800 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 1070807860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955051208000).

1070807860800 is an abundant number, since it is smaller than the sum of its proper divisors (2839294555200).

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

1070807860800 is a wasteful number, since it uses less digits than its factorization.

1070807860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42011 (or 41990 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1070807860800 in words is "one trillion, seventy billion, eight hundred seven million, eight hundred sixty thousand, eight hundred".