1056085700670 has 1024 divisors, whose sum is σ = 4030967808000. Its totient is φ = 191828943360.

The previous prime is 1056085700647. The next prime is 1056085700687. The reversal of 1056085700670 is 760075806501.

1056085700670 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 8 + 570 + 0 + 6 + 70 = 666.

It is a super-2 number, since 2×1056085700670² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 415944261 + ... + 415946799.

It is an arithmetic number, because the mean of its divisors is an integer number (3936492000).

Almost surely, 2^{1056085700670} is an apocalyptic number.

1056085700670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056085700670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015483904000).

1056085700670 is an abundant number, since it is smaller than the sum of its proper divisors (2974882107330).

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

1056085700670 is a wasteful number, since it uses less digits than its factorization.

1056085700670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 1056085700670 in words is "one trillion, fifty-six billion, eighty-five million, seven hundred thousand, six hundred seventy".