26478450198144 has 768 divisors, whose sum is σ = 91443931545600. Its totient is φ = 7542751104000.

The previous prime is 26478450198127. The next prime is 26478450198169. The reversal of 26478450198144 is 44189105487462.

26478450198144 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 8 + 4 + 501 + 9 + 81 + 44 = 666.

It is a super-2 number, since 2×26478450198144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35257589769 + ... + 35257590519.

It is an arithmetic number, because the mean of its divisors is an integer number (119067619200).

Almost surely, 2^{26478450198144} is an apocalyptic number.

26478450198144 is a gapful number since it is divisible by the number (24) 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 26478450198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45721965772800).

26478450198144 is an abundant number, since it is smaller than the sum of its proper divisors (64965481347456).

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

26478450198144 is an frugal number, since it uses more digits than its factorization.

26478450198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 26478450198144 in words is "twenty-six trillion, four hundred seventy-eight billion, four hundred fifty million, one hundred ninety-eight thousand, one hundred forty-four".