26001992016 has 1080 divisors, whose sum is σ = 106230645248. Its totient is φ = 5770828800.

The previous prime is 26001991999. The next prime is 26001992063. The reversal of 26001992016 is 61029910062.

26001992016 is a `hidden beast` number, since 2 + 600 + 19 + 9 + 20 + 16 = 666.

It is a super-2 number, since 2×26001992016² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 838773921 + ... + 838773951.

Almost surely, 2^26001992016 is an apocalyptic number.

26001992016 is a gapful number since it is divisible by the number (26) 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 26001992016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53115322624).

26001992016 is an abundant number, since it is smaller than the sum of its proper divisors (80228653232).

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

26001992016 is a wasteful number, since it uses less digits than its factorization.

26001992016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 26001992016 in words is "twenty-six billion, one million, nine hundred ninety-two thousand, sixteen".