26471598031872 has 1056 divisors, whose sum is σ = 97736603063040. Its totient is φ = 7038641111040.

The previous prime is 26471598031841. The next prime is 26471598031891. The reversal of 26471598031872 is 27813089517462.

26471598031872 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 1 + 598 + 0 + 31 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×26471598031872² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1152882472 + ... + 1152905432.

It is a 1-persistent number, because it is pandigital, but 2⋅26471598031872 = 52943196063744 is not.

Almost surely, 2^{26471598031872} 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 26471598031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48868301531520).

26471598031872 is an abundant number, since it is smaller than the sum of its proper divisors (71265005031168).

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

26471598031872 is a wasteful number, since it uses less digits than its factorization.

26471598031872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23064 (or 23033 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 26471598031872 in words is "twenty-six trillion, four hundred seventy-one billion, five hundred ninety-eight million, thirty-one thousand, eight hundred seventy-two".