10097031896640 has 448 divisors, whose sum is σ = 38502809049600. Its totient is φ = 2476176334848.

The previous prime is 10097031896639. The next prime is 10097031896647. The reversal of 10097031896640 is 4669813079001.

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

It is not an unprimeable number, because it can be changed into a prime (10097031896647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30046989 + ... + 30381171.

It is an arithmetic number, because the mean of its divisors is an integer number (85943770200).

Almost surely, 2^{10097031896640} is an apocalyptic number.

10097031896640 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 10097031896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19251404524800).

10097031896640 is an abundant number, since it is smaller than the sum of its proper divisors (28405777152960).

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

10097031896640 is a wasteful number, since it uses less digits than its factorization.

10097031896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334491 (or 334475 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10097031896640 in words is "ten trillion, ninety-seven billion, thirty-one million, eight hundred ninety-six thousand, six hundred forty".