26712761460 has 192 divisors, whose sum is σ = 93924956160. Its totient is φ = 5510638080.

The previous prime is 26712761441. The next prime is 26712761483. The reversal of 26712761460 is 6416721762.

It is a super-2 number, since 2×26712761460² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 621382 + ... + 662978.

It is an arithmetic number, because the mean of its divisors is an integer number (489192480).

Almost surely, 2^26712761460 is an apocalyptic number.

26712761460 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 26712761460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46962478080).

26712761460 is an abundant number, since it is smaller than the sum of its proper divisors (67212194700).

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

26712761460 is a wasteful number, since it uses less digits than its factorization.

26712761460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41766 (or 41764 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 26712761460 in words is "twenty-six billion, seven hundred twelve million, seven hundred sixty-one thousand, four hundred sixty".