1005621607056 has 80 divisors (see below), whose sum is σ = 2851411426560. Its totient is φ = 302864261760.

The previous prime is 1005621607051. The next prime is 1005621607073. The reversal of 1005621607056 is 6507061265001.

It is a super-2 number, since 2×1005621607056² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005621607051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5756226 + ... + 5928353.

It is an arithmetic number, because the mean of its divisors is an integer number (35642642832).

Almost surely, 2^{1005621607056} is an apocalyptic number.

1005621607056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1005621607056 is an abundant number, since it is smaller than the sum of its proper divisors (1845789819504).

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

1005621607056 is a wasteful number, since it uses less digits than its factorization.

1005621607056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11684764 (or 11684758 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 1005621607056 in words is "one trillion, five billion, six hundred twenty-one million, six hundred seven thousand, fifty-six".