26420808960 has 1152 divisors, whose sum is σ = 119555358720. Its totient is φ = 5374771200.

The previous prime is 26420808923. The next prime is 26420808971. The reversal of 26420808960 is 6980802462.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×26420808960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97493625 + ... + 97493895.

Almost surely, 2^26420808960 is an apocalyptic number.

26420808960 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 26420808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59777679360).

26420808960 is an abundant number, since it is smaller than the sum of its proper divisors (93134549760).

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

26420808960 is a wasteful number, since it uses less digits than its factorization.

26420808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26420808960 in words is "twenty-six billion, four hundred twenty million, eight hundred eight thousand, nine hundred sixty".