26077705920 has 672 divisors, whose sum is σ = 110523893760. Its totient is φ = 5765437440.

The previous prime is 26077705891. The next prime is 26077705921. The reversal of 26077705920 is 2950777062.

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

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

It is not an unprimeable number, because it can be changed into a prime (26077705921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13123167 + ... + 13125153.

It is an arithmetic number, because the mean of its divisors is an integer number (164470080).

Almost surely, 2^26077705920 is an apocalyptic number.

26077705920 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 26077705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55261946880).

26077705920 is an abundant number, since it is smaller than the sum of its proper divisors (84446187840).

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

26077705920 is a wasteful number, since it uses less digits than its factorization.

26077705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 26077705920 in words is "twenty-six billion, seventy-seven million, seven hundred five thousand, nine hundred twenty".