10497705600 has 384 divisors, whose sum is σ = 35857080000. Its totient is φ = 2697625600.

The previous prime is 10497705583. The next prime is 10497705607. The reversal of 10497705600 is 650779401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10497705600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497705607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58646311 + ... + 58646489.

Almost surely, 2^10497705600 is an apocalyptic number.

10497705600 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 10497705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17928540000).

10497705600 is an abundant number, since it is smaller than the sum of its proper divisors (25359374400).

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

10497705600 is a wasteful number, since it uses less digits than its factorization.

10497705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 10497705600 in words is "ten billion, four hundred ninety-seven million, seven hundred five thousand, six hundred".