26671507020 has 144 divisors (see below), whose sum is σ = 85805883072. Its totient is φ = 6691576320.

The previous prime is 26671507007. The next prime is 26671507063. The reversal of 26671507020 is 2070517662.

26671507020 is a `hidden beast` number, since 2 + 66 + 71 + 507 + 0 + 20 = 666.

It is a super-2 number, since 2×26671507020² (a number of 22 digits) contains 22 as substring.

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, 199734 + ... + 305346.

It is an arithmetic number, because the mean of its divisors is an integer number (595874188).

Almost surely, 2^26671507020 is an apocalyptic number.

26671507020 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 26671507020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42902941536).

26671507020 is an abundant number, since it is smaller than the sum of its proper divisors (59134376052).

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

26671507020 is a wasteful number, since it uses less digits than its factorization.

26671507020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105712 (or 105707 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 26671507020 in words is "twenty-six billion, six hundred seventy-one million, five hundred seven thousand, twenty".