26101470672 has 160 divisors (see below), whose sum is σ = 76486473600. Its totient is φ = 8519841792.

The previous prime is 26101470653. The next prime is 26101470683. The reversal of 26101470672 is 27607410162.

26101470672 is a `hidden beast` number, since 26 + 101 + 470 + 67 + 2 = 666.

It is a super-2 number, since 2×26101470672² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7058328 + ... + 7062024.

It is an arithmetic number, because the mean of its divisors is an integer number (478040460).

Almost surely, 2^26101470672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26101470672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38243236800).

26101470672 is an abundant number, since it is smaller than the sum of its proper divisors (50385002928).

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

26101470672 is a wasteful number, since it uses less digits than its factorization.

26101470672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 26101470672 in words is "twenty-six billion, one hundred one million, four hundred seventy thousand, six hundred seventy-two".