10017280000 has 520 divisors, whose sum is σ = 31525258688. Its totient is φ = 3096576000.

The previous prime is 10017279913. The next prime is 10017280001. The reversal of 10017280000 is 8271001.

It is a tau number, because it is divible by the number of its divisors (520).

It is a self number, because there is not a number n which added to its sum of digits gives 10017280000.

It is not an unprimeable number, because it can be changed into a prime (10017280001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 232959979 + ... + 232960021.

Almost surely, 2^10017280000 is an apocalyptic number.

10017280000 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 10017280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15762629344).

10017280000 is an abundant number, since it is smaller than the sum of its proper divisors (21507978688).

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

10017280000 is an frugal number, since it uses more digits than its factorization.

10017280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

It can be divided in two parts, 100 and 17280000, that multiplied together give a cube (1728000000 = 1200³).

The spelling of 10017280000 in words is "ten billion, seventeen million, two hundred eighty thousand".