1061828038656 has 936 divisors, whose sum is σ = 3980835436032. Its totient is φ = 266659430400.

The previous prime is 1061828038619. The next prime is 1061828038669. The reversal of 1061828038656 is 6568308281601.

1061828038656 is a `hidden beast` number, since 1 + 0 + 6 + 182 + 80 + 386 + 5 + 6 = 666.

It is a super-2 number, since 2×1061828038656² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 967937500 + ... + 967938596.

It is an arithmetic number, because the mean of its divisors is an integer number (4253029312).

Almost surely, 2^{1061828038656} is an apocalyptic number.

1061828038656 is a gapful number since it is divisible by the number (16) 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 1061828038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990417718016).

1061828038656 is an abundant number, since it is smaller than the sum of its proper divisors (2919007397376).

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

1061828038656 is a wasteful number, since it uses less digits than its factorization.

1061828038656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1061828038656 in words is "one trillion, sixty-one billion, eight hundred twenty-eight million, thirty-eight thousand, six hundred fifty-six".