1260724216500 has 672 divisors, whose sum is σ = 4818834349056. Its totient is φ = 282007526400.

The previous prime is 1260724216469. The next prime is 1260724216537. The reversal of 1260724216500 is 56124270621.

It is a happy number.

1260724216500 is a `hidden beast` number, since 1 + 2 + 60 + 72 + 4 + 21 + 6 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 119915244 + ... + 119925756.

It is an arithmetic number, because the mean of its divisors is an integer number (7170884448).

Almost surely, 2^{1260724216500} is an apocalyptic number.

1260724216500 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 1260724216500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409417174528).

1260724216500 is an abundant number, since it is smaller than the sum of its proper divisors (3558110132556).

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

1260724216500 is a wasteful number, since it uses less digits than its factorization.

1260724216500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10604 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1260724216500 in words is "one trillion, two hundred sixty billion, seven hundred twenty-four million, two hundred sixteen thousand, five hundred".