1560414346920 has 1024 divisors, whose sum is σ = 6403873996800. Its totient is φ = 332563968000.

The previous prime is 1560414346903. The next prime is 1560414346963. The reversal of 1560414346920 is 296434140651.

1560414346920 is a `hidden beast` number, since 1 + 5 + 604 + 1 + 4 + 34 + 6 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×1560414346920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 962623710 + ... + 962625330.

It is an arithmetic number, because the mean of its divisors is an integer number (6253783200).

Almost surely, 2^{1560414346920} is an apocalyptic number.

1560414346920 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 1560414346920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201936998400).

1560414346920 is an abundant number, since it is smaller than the sum of its proper divisors (4843459649880).

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

1560414346920 is a wasteful number, since it uses less digits than its factorization.

1560414346920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1560414346920 in words is "one trillion, five hundred sixty billion, four hundred fourteen million, three hundred forty-six thousand, nine hundred twenty".