26078976000 has 1536 divisors, whose sum is σ = 122653440000. Its totient is φ = 5419008000.

The previous prime is 26078975833. The next prime is 26078976019. The reversal of 26078976000 is 67987062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×26078976000² (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, 2370815995 + ... + 2370816005.

It is an arithmetic number, because the mean of its divisors is an integer number (79852500).

Almost surely, 2^26078976000 is an apocalyptic number.

26078976000 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 26078976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720000).

26078976000 is an abundant number, since it is smaller than the sum of its proper divisors (96574464000).

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

26078976000 is an equidigital number, since it uses as much as digits as its factorization.

26078976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 26078976000 in words is "twenty-six billion, seventy-eight million, nine hundred seventy-six thousand".