10197362880 has 168 divisors, whose sum is σ = 35131668624. Its totient is φ = 2714880000.

The previous prime is 10197362843. The next prime is 10197362891. The reversal of 10197362880 is 8826379101.

10197362880 is a `hidden beast` number, since 1 + 0 + 19 + 7 + 3 + 628 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2016355 + ... + 2021405.

Almost surely, 2^10197362880 is an apocalyptic number.

10197362880 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 10197362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565834312).

10197362880 is an abundant number, since it is smaller than the sum of its proper divisors (24934305744).

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

10197362880 is a wasteful number, since it uses less digits than its factorization.

10197362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10197362880 in words is "ten billion, one hundred ninety-seven million, three hundred sixty-two thousand, eight hundred eighty".