26370938880 has 1536 divisors, whose sum is σ = 118879488000. Its totient is φ = 5449973760.

The previous prime is 26370938879. The next prime is 26370938939. The reversal of 26370938880 is 8883907362.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 909342706 + ... + 909342734.

It is an arithmetic number, because the mean of its divisors is an integer number (77395500).

Almost surely, 2^26370938880 is an apocalyptic number.

26370938880 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 26370938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744000).

26370938880 is an abundant number, since it is smaller than the sum of its proper divisors (92508549120).

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

26370938880 is a wasteful number, since it uses less digits than its factorization.

26370938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26370938880 in words is "twenty-six billion, three hundred seventy million, nine hundred thirty-eight thousand, eight hundred eighty".