65997610000 has 225 divisors, whose sum is σ = 186382306539. Its totient is φ = 22566096000.

The previous prime is 65997609973. The next prime is 65997610027. The reversal of 65997610000 is 1679956.

The square root of 65997610000 is 256900.

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

65997610000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65997609973) and next prime (65997610027).

It can be written as a sum of positive squares in 2 ways, for example, as 5174212624 + 60823397376 = 71932^2 + 246624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 179829817 + ... + 179830183.

Almost surely, 2^65997610000 is an apocalyptic number.

65997610000 is the 256900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65997610000

65997610000 is an abundant number, since it is smaller than the sum of its proper divisors (120384696539).

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

65997610000 is an frugal number, since it uses more digits than its factorization.

65997610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 65997610000 in words is "sixty-five billion, nine hundred ninety-seven million, six hundred ten thousand".