10170272880 has 480 divisors, whose sum is σ = 37576880640. Its totient is φ = 2455971840.

The previous prime is 10170272869. The next prime is 10170272891. The reversal of 10170272880 is 8827207101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10170272869) and next prime (10170272891).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35937219 + ... + 35937501.

It is an arithmetic number, because the mean of its divisors is an integer number (78285168).

Almost surely, 2^10170272880 is an apocalyptic number.

10170272880 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 10170272880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18788440320).

10170272880 is an abundant number, since it is smaller than the sum of its proper divisors (27406607760).

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

10170272880 is a wasteful number, since it uses less digits than its factorization.

10170272880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

Adding to 10170272880 its reverse (8827207101), we get a palindrome (18997479981).

The spelling of 10170272880 in words is "ten billion, one hundred seventy million, two hundred seventy-two thousand, eight hundred eighty".