1564345721200 has 120 divisors (see below), whose sum is σ = 3937483619840. Its totient is φ = 596514758400.

The previous prime is 1564345721177. The next prime is 1564345721243. The reversal of 1564345721200 is 21275434651.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 110670 + ... + 1772269.

Almost surely, 2^{1564345721200} is an apocalyptic number.

1564345721200 is a gapful number since it is divisible by the number (10) 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 1564345721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968741809920).

1564345721200 is an abundant number, since it is smaller than the sum of its proper divisors (2373137898640).

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

1564345721200 is a wasteful number, since it uses less digits than its factorization.

1564345721200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883055 (or 1883044 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 1564345721200 in words is "one trillion, five hundred sixty-four billion, three hundred forty-five million, seven hundred twenty-one thousand, two hundred".