26627299319220 has 192 divisors, whose sum is σ = 79227712327680. Its totient is φ = 6658791524352.

The previous prime is 26627299319197. The next prime is 26627299319239. The reversal of 26627299319220 is 2291399272662.

It is a super-2 number, since 2×26627299319220² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351695889 + ... + 351771591.

It is an arithmetic number, because the mean of its divisors is an integer number (412644335040).

Almost surely, 2^{26627299319220} is an apocalyptic number.

26627299319220 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 26627299319220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39613856163840).

26627299319220 is an abundant number, since it is smaller than the sum of its proper divisors (52600413008460).

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

26627299319220 is a wasteful number, since it uses less digits than its factorization.

26627299319220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76974 (or 76972 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 26627299319220 in words is "twenty-six trillion, six hundred twenty-seven billion, two hundred ninety-nine million, three hundred nineteen thousand, two hundred twenty".