1059107270400 has 540 divisors, whose sum is σ = 3974580275512. Its totient is φ = 278204129280.

The previous prime is 1059107270387. The next prime is 1059107270437. The reversal of 1059107270400 is 40727019501.

It is a happy number.

1059107270400 is a `hidden beast` number, since 1 + 0 + 591 + 0 + 7 + 27 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×1059107270400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34717554 + ... + 34748046.

Almost surely, 2^{1059107270400} is an apocalyptic number.

1059107270400 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 1059107270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987290137756).

1059107270400 is an abundant number, since it is smaller than the sum of its proper divisors (2915473005112).

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

1059107270400 is an equidigital number, since it uses as much as digits as its factorization.

1059107270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30598 (or 30570 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 1059107270400 in words is "one trillion, fifty-nine billion, one hundred seven million, two hundred seventy thousand, four hundred".