26477200934016 has 512 divisors, whose sum is σ = 87441045504000. Its totient is φ = 6927303720960.

The previous prime is 26477200933999. The next prime is 26477200934017. The reversal of 26477200934016 is 61043900277462.

It is a happy number.

It is a super-4 number, since 4×26477200934016⁴ (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26477200934016.

It is not an unprimeable number, because it can be changed into a prime (26477200934017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1388484930 + ... + 1388503998.

It is an arithmetic number, because the mean of its divisors is an integer number (170783292000).

Almost surely, 2^{26477200934016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26477200934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43720522752000).

26477200934016 is an abundant number, since it is smaller than the sum of its proper divisors (60963844569984).

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

26477200934016 is a wasteful number, since it uses less digits than its factorization.

26477200934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20020 (or 20008 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 26477200934016 in words is "twenty-six trillion, four hundred seventy-seven billion, two hundred million, nine hundred thirty-four thousand, sixteen".