1564120410720 has 576 divisors, whose sum is σ = 6134641422336. Its totient is φ = 327763169280.

The previous prime is 1564120410691. The next prime is 1564120410731. The reversal of 1564120410720 is 270140214651.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37580962 + ... + 37622558.

It is an arithmetic number, because the mean of its divisors is an integer number (10650419136).

Almost surely, 2^{1564120410720} is an apocalyptic number.

1564120410720 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 1564120410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067320711168).

1564120410720 is an abundant number, since it is smaller than the sum of its proper divisors (4570521011616).

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

1564120410720 is a wasteful number, since it uses less digits than its factorization.

1564120410720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41691 (or 41664 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 1564120410720 in words is "one trillion, five hundred sixty-four billion, one hundred twenty million, four hundred ten thousand, seven hundred twenty".