1010082225600 has 2688 divisors, whose sum is σ = 4702327603200. Its totient is φ = 205734297600.

The previous prime is 1010082225553. The next prime is 1010082225613. The reversal of 1010082225600 is 65222800101.

It is a happy number.

1010082225600 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 82 + 22 + 560 + 0 = 666.

It is a super-2 number, since 2×1010082225600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9440020747 + ... + 9440020853.

Almost surely, 2^{1010082225600} is an apocalyptic number.

1010082225600 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 1010082225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351163801600).

1010082225600 is an abundant number, since it is smaller than the sum of its proper divisors (3692245377600).

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

1010082225600 is a wasteful number, since it uses less digits than its factorization.

1010082225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 1010082225600 in words is "one trillion, ten billion, eighty-two million, two hundred twenty-five thousand, six hundred".