26378735616000 has 1024 divisors, whose sum is σ = 98586869472000. Its totient is φ = 6958979481600.

The previous prime is 26378735615993. The next prime is 26378735616011. The reversal of 26378735616000 is 61653787362.

26378735616000 is a `hidden beast` number, since 2 + 6 + 3 + 7 + 8 + 73 + 561 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

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, 10727422771 + ... + 10727425229.

Almost surely, 2^{26378735616000} is an apocalyptic number.

26378735616000 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 26378735616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49293434736000).

26378735616000 is an abundant number, since it is smaller than the sum of its proper divisors (72208133856000).

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

26378735616000 is an frugal number, since it uses more digits than its factorization.

26378735616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 26378735616000 in words is "twenty-six trillion, three hundred seventy-eight billion, seven hundred thirty-five million, six hundred sixteen thousand".