10097676540 has 384 divisors, whose sum is σ = 38449152000. Its totient is φ = 2148602112.

The previous prime is 10097676517. The next prime is 10097676553. The reversal of 10097676540 is 4567679001.

It is a happy number.

10097676540 is a `hidden beast` number, since 10 + 0 + 97 + 6 + 7 + 6 + 540 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4236189 + ... + 4238571.

It is an arithmetic number, because the mean of its divisors is an integer number (100128000).

Almost surely, 2^10097676540 is an apocalyptic number.

10097676540 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 10097676540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224576000).

10097676540 is an abundant number, since it is smaller than the sum of its proper divisors (28351475460).

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

10097676540 is a wasteful number, since it uses less digits than its factorization.

10097676540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10097676540 in words is "ten billion, ninety-seven million, six hundred seventy-six thousand, five hundred forty".