212645061600 has 144 divisors (see below), whose sum is σ = 692929899648. Its totient is φ = 56642250240.

The previous prime is 212645061547. The next prime is 212645061617. The reversal of 212645061600 is 6160546212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2127957 + ... + 2225643.

It is an arithmetic number, because the mean of its divisors is an integer number (4812013192).

Almost surely, 2^212645061600 is an apocalyptic number.

212645061600 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 212645061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346464949824).

212645061600 is an abundant number, since it is smaller than the sum of its proper divisors (480284838048).

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

212645061600 is a wasteful number, since it uses less digits than its factorization.

212645061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98617 (or 98604 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 212645061600 in words is "two hundred twelve billion, six hundred forty-five million, sixty-one thousand, six hundred".