26766136320 has 1056 divisors, whose sum is σ = 112504692096. Its totient is φ = 5367398400.

The previous prime is 26766136307. The next prime is 26766136337. The reversal of 26766136320 is 2363166762.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 438789090 + ... + 438789150.

Almost surely, 2^26766136320 is an apocalyptic number.

26766136320 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 26766136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56252346048).

26766136320 is an abundant number, since it is smaller than the sum of its proper divisors (85738555776).

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

26766136320 is a wasteful number, since it uses less digits than its factorization.

26766136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 26766136320 in words is "twenty-six billion, seven hundred sixty-six million, one hundred thirty-six thousand, three hundred twenty".