26378148324000 has 768 divisors, whose sum is σ = 99890923991040. Its totient is φ = 6017932800000.

The previous prime is 26378148323983. The next prime is 26378148324013. The reversal of 26378148324000 is 42384187362.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 378673174 + ... + 378742826.

It is an arithmetic number, because the mean of its divisors is an integer number (130066307280).

Almost surely, 2^{26378148324000} is an apocalyptic number.

26378148324000 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 26378148324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49945461995520).

26378148324000 is an abundant number, since it is smaller than the sum of its proper divisors (73512775667040).

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

26378148324000 is a wasteful number, since it uses less digits than its factorization.

26378148324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69862 (or 69844 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 26378148324000 in words is "twenty-six trillion, three hundred seventy-eight billion, one hundred forty-eight million, three hundred twenty-four thousand".