1056105439620 has 288 divisors, whose sum is σ = 3789126190080. Its totient is φ = 213518108160.

The previous prime is 1056105439591. The next prime is 1056105439633. The reversal of 1056105439620 is 269345016501.

It is a super-2 number, since 2×1056105439620² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6241291 + ... + 6408269.

It is an arithmetic number, because the mean of its divisors is an integer number (13156688160).

Almost surely, 2^{1056105439620} is an apocalyptic number.

1056105439620 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 1056105439620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894563095040).

1056105439620 is an abundant number, since it is smaller than the sum of its proper divisors (2733020750460).

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

1056105439620 is a wasteful number, since it uses less digits than its factorization.

1056105439620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167083 (or 167044 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 1056105439620 in words is "one trillion, fifty-six billion, one hundred five million, four hundred thirty-nine thousand, six hundred twenty".