10197465438720 has 1280 divisors, whose sum is σ = 41232501522432. Its totient is φ = 2096753541120.

The previous prime is 10197465438701. The next prime is 10197465438731. The reversal of 10197465438720 is 2783456479101.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1847029560 + ... + 1847035080.

It is a 1-persistent number, because it is pandigital, but 2⋅10197465438720 = 20394930877440 is not.

Almost surely, 2^{10197465438720} is an apocalyptic number.

10197465438720 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 10197465438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20616250761216).

10197465438720 is an abundant number, since it is smaller than the sum of its proper divisors (31035036083712).

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

10197465438720 is a wasteful number, since it uses less digits than its factorization.

10197465438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 10197465438720 in words is "ten trillion, one hundred ninety-seven billion, four hundred sixty-five million, four hundred thirty-eight thousand, seven hundred twenty".