26460033600 has 672 divisors, whose sum is σ = 116578538496. Its totient is φ = 5074329600.

The previous prime is 26460033581. The next prime is 26460033671. The reversal of 26460033600 is 633006462.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×26460033600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4802047 + ... + 4807553.

It is an arithmetic number, because the mean of its divisors is an integer number (173479968).

Almost surely, 2^26460033600 is an apocalyptic number.

26460033600 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 26460033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58289269248).

26460033600 is an abundant number, since it is smaller than the sum of its proper divisors (90118504896).

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

26460033600 is a wasteful number, since it uses less digits than its factorization.

26460033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 26460033600 in words is "twenty-six billion, four hundred sixty million, thirty-three thousand, six hundred".