1070556020352 has 1440 divisors, whose sum is σ = 4133822198220. Its totient is φ = 273898340352.

The previous prime is 1070556020341. The next prime is 1070556020393. The reversal of 1070556020352 is 2530206550701.

1070556020352 is a `hidden beast` number, since 1 + 0 + 70 + 5 + 560 + 20 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 248458383936 + 822097636416 = 498456^2 + 906696^2 .

It is a super-2 number, since 2×1070556020352² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3176723928 + ... + 3176724264.

Almost surely, 2^{1070556020352} is an apocalyptic number.

1070556020352 is a gapful number since it is divisible by the number (12) 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 1070556020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066911099110).

1070556020352 is an abundant number, since it is smaller than the sum of its proper divisors (3063266177868).

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

1070556020352 is a wasteful number, since it uses less digits than its factorization.

1070556020352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 1070556020352 in words is "one trillion, seventy billion, five hundred fifty-six million, twenty thousand, three hundred fifty-two".