1009680499080 has 512 divisors, whose sum is σ = 3796380057600. Its totient is φ = 236476800000.

The previous prime is 1009680499039. The next prime is 1009680499097. The reversal of 1009680499080 is 809940869001.

1009680499080 is a `hidden beast` number, since 10 + 0 + 9 + 68 + 0 + 499 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258162325 + ... + 258166235.

It is an arithmetic number, because the mean of its divisors is an integer number (7414804800).

Almost surely, 2^{1009680499080} is an apocalyptic number.

1009680499080 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 1009680499080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898190028800).

1009680499080 is an abundant number, since it is smaller than the sum of its proper divisors (2786699558520).

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

1009680499080 is a wasteful number, since it uses less digits than its factorization.

1009680499080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1009680499080 in words is "one trillion, nine billion, six hundred eighty million, four hundred ninety-nine thousand, eighty".