201690810000 has 375 divisors, whose sum is σ = 730920914031. Its totient is φ = 53676432000.

The previous prime is 201690809989. The next prime is 201690810011. The reversal of 201690810000 is 18096102.

The square root of 201690810000 is 449100.

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 (201690809989) and next prime (201690810011).

It can be written as a sum of positive squares in 2 ways, for example, as 15812559504 + 185878250496 = 125748^2 + 431136^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a super-2 number, since 2×201690810000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 404189751 + ... + 404190249.

Almost surely, 2^201690810000 is an apocalyptic number.

201690810000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201690810000 is the 449100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201690810000

201690810000 is an abundant number, since it is smaller than the sum of its proper divisors (529230104031).

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

201690810000 is an frugal number, since it uses more digits than its factorization.

201690810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 201690810000 in words is "two hundred one billion, six hundred ninety million, eight hundred ten thousand".