26135994470400 has 936 divisors, whose sum is σ = 97345852216704. Its totient is φ = 6950574489600.

The previous prime is 26135994470329. The next prime is 26135994470407. The reversal of 26135994470400 is 407449953162.

26135994470400 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 599 + 4 + 4 + 7 + 0 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26135994470407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10724657982 + ... + 10724660418.

It is an arithmetic number, because the mean of its divisors is an integer number (104001978864).

Almost surely, 2^{26135994470400} is an apocalyptic number.

26135994470400 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 26135994470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48672926108352).

26135994470400 is an abundant number, since it is smaller than the sum of its proper divisors (71209857746304).

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

26135994470400 is an equidigital number, since it uses as much as digits as its factorization.

26135994470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 26135994470400 in words is "twenty-six trillion, one hundred thirty-five billion, nine hundred ninety-four million, four hundred seventy thousand, four hundred".