10897761600 has 1344 divisors, whose sum is σ = 48982579200. Its totient is φ = 2322432000.

The previous prime is 10897761599. The next prime is 10897761601. The reversal of 10897761600 is 616779801.

It is an interprime number because it is at equal distance from previous prime (10897761599) and next prime (10897761601).

It is a super-2 number, since 2×10897761600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10897761601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153489565 + ... + 153489635.

Almost surely, 2^10897761600 is an apocalyptic number.

10897761600 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 10897761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24491289600).

10897761600 is an abundant number, since it is smaller than the sum of its proper divisors (38084817600).

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

10897761600 is a wasteful number, since it uses less digits than its factorization.

10897761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10897761600 in words is "ten billion, eight hundred ninety-seven million, seven hundred sixty-one thousand, six hundred".