10274172480 has 1008 divisors, whose sum is σ = 44377295040. Its totient is φ = 2156544000.

The previous prime is 10274172463. The next prime is 10274172487. The reversal of 10274172480 is 8427147201.

10274172480 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 4 + 172 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10274172487) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101724430 + ... + 101724530.

Almost surely, 2^10274172480 is an apocalyptic number.

10274172480 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 10274172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22188647520).

10274172480 is an abundant number, since it is smaller than the sum of its proper divisors (34103122560).

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

10274172480 is a wasteful number, since it uses less digits than its factorization.

10274172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 10274172480 in words is "ten billion, two hundred seventy-four million, one hundred seventy-two thousand, four hundred eighty".