26872623180 has 480 divisors, whose sum is σ = 98232051456. Its totient is φ = 6089416704.

The previous prime is 26872623161. The next prime is 26872623199. The reversal of 26872623180 is 8132627862.

26872623180 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 2 + 623 + 18 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26872623161) and next prime (26872623199).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16826142 + ... + 16827738.

Almost surely, 2^26872623180 is an apocalyptic number.

26872623180 is a gapful number since it is divisible by the number (20) 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 26872623180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49116025728).

26872623180 is an abundant number, since it is smaller than the sum of its proper divisors (71359428276).

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

26872623180 is a wasteful number, since it uses less digits than its factorization.

26872623180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26872623180 in words is "twenty-six billion, eight hundred seventy-two million, six hundred twenty-three thousand, one hundred eighty".