1009681272600 has 1152 divisors, whose sum is σ = 4276044172800. Its totient is φ = 191357337600.

The previous prime is 1009681272599. The next prime is 1009681272653. The reversal of 1009681272600 is 62721869001.

1009681272600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 694893474 + ... + 694894926.

It is an arithmetic number, because the mean of its divisors is an integer number (3711843900).

Almost surely, 2^{1009681272600} is an apocalyptic number.

1009681272600 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 1009681272600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138022086400).

1009681272600 is an abundant number, since it is smaller than the sum of its proper divisors (3266362900200).

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

1009681272600 is a wasteful number, since it uses less digits than its factorization.

1009681272600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 1009681272600 in words is "one trillion, nine billion, six hundred eighty-one million, two hundred seventy-two thousand, six hundred".