1259216640 has 432 divisors, whose sum is σ = 5012542080. Its totient is φ = 288645120.

The previous prime is 1259216533. The next prime is 1259216653. The reversal of 1259216640 is 466129521.

1259216640 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 2 + 1 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1259216595 and 1259216604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2407419 + ... + 2407941.

Almost surely, 2^1259216640 is an apocalyptic number.

1259216640 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 1259216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506271040).

1259216640 is an abundant number, since it is smaller than the sum of its proper divisors (3753325440).

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

1259216640 is a wasteful number, since it uses less digits than its factorization.

1259216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1259216640 is about 35485.4426490639. The cubic root of 1259216640 is about 1079.8584176541.

The spelling of 1259216640 in words is "one billion, two hundred fifty-nine million, two hundred sixteen thousand, six hundred forty".