26146890000 has 1125 divisors, whose sum is σ = 117252154019. Its totient is φ = 5433120000.

The previous prime is 26146889983. The next prime is 26146890017. The reversal of 26146890000 is 9864162.

The square root of 26146890000 is 161700.

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

It is an interprime number because it is at equal distance from previous prime (26146889983) and next prime (26146890017).

It can be written as a sum of positive squares in 2 ways, for example, as 2049916176 + 24096973824 = 45276^2 + 155232^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2376989995 + ... + 2376990005.

Almost surely, 2^26146890000 is an apocalyptic number.

26146890000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26146890000 is the 161700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26146890000

26146890000 is an abundant number, since it is smaller than the sum of its proper divisors (91105264019).

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

26146890000 is an equidigital number, since it uses as much as digits as its factorization.

26146890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 26146890000 by its sum of digits (36), we get a square (941288040000 = 970200²).

26146890000 divided by its sum of digits (36) gives a square (726302500 = 26950²).

Multiplying 26146890000 by its product of nonzero digits (20736), we get a square (542181911040000 = 23284800²).

The spelling of 26146890000 in words is "twenty-six billion, one hundred forty-six million, eight hundred ninety thousand".