1560216551400 has 2304 divisors, whose sum is σ = 6666001920000. Its totient is φ = 333056655360.

The previous prime is 1560216551371. The next prime is 1560216551461. The reversal of 1560216551400 is 41556120651.

1560216551400 is a `hidden beast` number, since 1 + 5 + 60 + 2 + 1 + 6 + 551 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19749576561 + ... + 19749576639.

It is an arithmetic number, because the mean of its divisors is an integer number (2893230000).

Almost surely, 2^{1560216551400} is an apocalyptic number.

1560216551400 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 1560216551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333000960000).

1560216551400 is an abundant number, since it is smaller than the sum of its proper divisors (5105785368600).

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

1560216551400 is a wasteful number, since it uses less digits than its factorization.

1560216551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 1560216551400 in words is "one trillion, five hundred sixty billion, two hundred sixteen million, five hundred fifty-one thousand, four hundred".