26178452052480 has 5040 divisors, whose sum is σ = 126463909244904. Its totient is φ = 5146880901120.

The previous prime is 26178452052463. The next prime is 26178452052497. The reversal of 26178452052480 is 8425025487162.

26178452052480 is a `hidden beast` number, since 2 + 6 + 1 + 78 + 4 + 520 + 5 + 2 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26178452052463) and next prime (26178452052497).

It can be written as a sum of positive squares in 4 ways, for example, as 8586400225536 + 17592051826944 = 2930256^2 + 4194288^2 .

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×26178452052480² (a number of 28 digits) contains 22 as substring.

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 503 ways as a sum of consecutive naturals, for example, 429154951650 + ... + 429154951710.

Almost surely, 2^{26178452052480} is an apocalyptic number.

26178452052480 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 26178452052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63231954622452).

26178452052480 is an abundant number, since it is smaller than the sum of its proper divisors (100285457192424).

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

26178452052480 is an equidigital number, since it uses as much as digits as its factorization.

26178452052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 26178452052480 in words is "twenty-six trillion, one hundred seventy-eight billion, four hundred fifty-two million, fifty-two thousand, four hundred eighty".