26948505600 has 819 divisors, whose sum is σ = 105741083793. Its totient is φ = 6808043520.

The previous prime is 26948505547. The next prime is 26948505601. The reversal of 26948505600 is 650584962.

The square root of 26948505600 is 164160.

It is a perfect power (a square), and thus also a powerful number.

26948505600 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 85 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9701462016 + 17247043584 = 98496^2 + 131328^2 .

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

It is not an unprimeable number, because it can be changed into a prime (26948505601) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1418342391 + ... + 1418342409.

Almost surely, 2^26948505600 is an apocalyptic number.

26948505600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26948505600 is the 164160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26948505600

26948505600 is an abundant number, since it is smaller than the sum of its proper divisors (78792578193).

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

26948505600 is an frugal number, since it uses more digits than its factorization.

26948505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

26948505600 divided by its product of nonzero digits (518400) gives a square (51984 = 228²).

The spelling of 26948505600 in words is "twenty-six billion, nine hundred forty-eight million, five hundred five thousand, six hundred".