1010456985600 has 972 divisors, whose sum is σ = 3838666903344. Its totient is φ = 263722106880.

The previous prime is 1010456985589. The next prime is 1010456985607. The reversal of 1010456985600 is 65896540101.

1010456985600 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 569 + 85 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010456985607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 21499084777 + ... + 21499084823.

Almost surely, 2^{1010456985600} is an apocalyptic number.

1010456985600 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 1010456985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919333451672).

1010456985600 is an abundant number, since it is smaller than the sum of its proper divisors (2828209917744).

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

1010456985600 is an frugal number, since it uses more digits than its factorization.

1010456985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1010456985600 in words is "one trillion, ten billion, four hundred fifty-six million, nine hundred eighty-five thousand, six hundred".