1062132825600 has 1920 divisors, whose sum is σ = 4910085734400. Its totient is φ = 218463436800.

The previous prime is 1062132825553. The next prime is 1062132825667. The reversal of 1062132825600 is 65282312601.

1062132825600 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 1 + 3 + 28 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1062132825600² (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 191 ways as a sum of consecutive naturals, for example, 4444070281 + ... + 4444070519.

It is an arithmetic number, because the mean of its divisors is an integer number (2557336320).

Almost surely, 2^{1062132825600} is an apocalyptic number.

1062132825600 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 1062132825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455042867200).

1062132825600 is an abundant number, since it is smaller than the sum of its proper divisors (3847952908800).

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

1062132825600 is a wasteful number, since it uses less digits than its factorization.

1062132825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1062132825600 in words is "one trillion, sixty-two billion, one hundred thirty-two million, eight hundred twenty-five thousand, six hundred".