259220787840 has 1920 divisors, whose sum is σ = 1170051220800. Its totient is φ = 54344908800.

The previous prime is 259220787823. The next prime is 259220787841. The reversal of 259220787840 is 48787022952.

259220787840 is a `hidden beast` number, since 2 + 592 + 2 + 0 + 7 + 8 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (259220787841) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1978784575 + ... + 1978784705.

Almost surely, 2^259220787840 is an apocalyptic number.

259220787840 is a gapful number since it is divisible by the number (20) 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 259220787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585025610400).

259220787840 is an abundant number, since it is smaller than the sum of its proper divisors (910830432960).

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

259220787840 is a wasteful number, since it uses less digits than its factorization.

259220787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 259220787840 in words is "two hundred fifty-nine billion, two hundred twenty million, seven hundred eighty-seven thousand, eight hundred forty".