1070882684928 has 1020 divisors, whose sum is σ = 3905265687840. Its totient is φ = 291028598784.

The previous prime is 1070882684891. The next prime is 1070882684947. The reversal of 1070882684928 is 8294862880701.

1070882684928 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 8 + 82 + 68 + 492 + 8 = 666.

It is a super-2 number, since 2×1070882684928² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5982584743 + ... + 5982584921.

Almost surely, 2^{1070882684928} is an apocalyptic number.

1070882684928 is a gapful number since it is divisible by the number (18) 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 1070882684928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952632843920).

1070882684928 is an abundant number, since it is smaller than the sum of its proper divisors (2834383002912).

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

1070882684928 is an frugal number, since it uses more digits than its factorization.

1070882684928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 1070882684928 in words is "one trillion, seventy billion, eight hundred eighty-two million, six hundred eighty-four thousand, nine hundred twenty-eight".