26478853200 has 180 divisors, whose sum is σ = 97294434588. Its totient is φ = 6645657600.

The previous prime is 26478853171. The next prime is 26478853223. The reversal of 26478853200 is 235887462.

It can be written as a sum of positive squares in 6 ways, for example, as 425019456 + 26053833744 = 20616^2 + 161412^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×26478853200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155131 + ... + 277530.

Almost surely, 2^26478853200 is an apocalyptic number.

26478853200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26478853200 is an abundant number, since it is smaller than the sum of its proper divisors (70815581388).

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

26478853200 is a wasteful number, since it uses less digits than its factorization.

26478853200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432702 (or 432688 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 26478853200 in words is "twenty-six billion, four hundred seventy-eight million, eight hundred fifty-three thousand, two hundred".