1012525930800 has 720 divisors, whose sum is σ = 3774033049600. Its totient is φ = 257560819200.

The previous prime is 1012525930799. The next prime is 1012525930847. The reversal of 1012525930800 is 80395252101.

1012525930800 is a `hidden beast` number, since 1 + 0 + 12 + 52 + 593 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2306436981 + ... + 2306437419.

Almost surely, 2^{1012525930800} is an apocalyptic number.

1012525930800 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 1012525930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887016524800).

1012525930800 is an abundant number, since it is smaller than the sum of its proper divisors (2761507118800).

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

1012525930800 is a wasteful number, since it uses less digits than its factorization.

1012525930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1012525930800 in words is "one trillion, twelve billion, five hundred twenty-five million, nine hundred thirty thousand, eight hundred".