10272086280 has 192 divisors, whose sum is σ = 36443534400. Its totient is φ = 2595006720.

The previous prime is 10272086267. The next prime is 10272086323. The reversal of 10272086280 is 8268027201.

It is a happy number.

10272086280 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 20 + 8 + 628 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156870 + ... + 212490.

It is an arithmetic number, because the mean of its divisors is an integer number (189810075).

Almost surely, 2^10272086280 is an apocalyptic number.

10272086280 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 10272086280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221767200).

10272086280 is an abundant number, since it is smaller than the sum of its proper divisors (26171448120).

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

10272086280 is a wasteful number, since it uses less digits than its factorization.

10272086280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55666 (or 55650 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10272086280 in words is "ten billion, two hundred seventy-two million, eighty-six thousand, two hundred eighty".