1056604389120 has 1296 divisors, whose sum is σ = 4550718594240. Its totient is φ = 224885735424.

The previous prime is 1056604389091. The next prime is 1056604389131. The reversal of 1056604389120 is 219834066501.

1056604389120 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 604 + 38 + 9 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×1056604389120² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 988403946 + ... + 988405014.

It is an arithmetic number, because the mean of its divisors is an integer number (3511356940).

Almost surely, 2^{1056604389120} is an apocalyptic number.

1056604389120 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 1056604389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275359297120).

1056604389120 is an abundant number, since it is smaller than the sum of its proper divisors (3494114205120).

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

1056604389120 is a wasteful number, since it uses less digits than its factorization.

1056604389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1056604389120 in words is "one trillion, fifty-six billion, six hundred four million, three hundred eighty-nine thousand, one hundred twenty".