261516298680000 has 7560 divisors, whose sum is σ = 1292943417978960. Its totient is φ = 52273009152000.

The previous prime is 261516298679963. The next prime is 261516298680041. The reversal of 261516298680000 is 86892615162.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

261516298680000 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 1 + 629 + 8 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 13764015719991 + ... + 13764015720009.

Almost surely, 2^{261516298680000} is an apocalyptic number.

261516298680000 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 261516298680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646471708989480).

261516298680000 is an abundant number, since it is smaller than the sum of its proper divisors (1031427119298960).

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

261516298680000 is an frugal number, since it uses more digits than its factorization.

261516298680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 261516298680000 in words is "two hundred sixty-one trillion, five hundred sixteen billion, two hundred ninety-eight million, six hundred eighty thousand".