260789261990400 has 4800 divisors, whose sum is σ = 1221907568910336. Its totient is φ = 53998534656000.

The previous prime is 260789261990353. The next prime is 260789261990447. The reversal of 260789261990400 is 4099162987062.

260789261990400 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 8 + 9 + 2 + 619 + 9 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (260789261990353) and next prime (260789261990447).

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×260789261990400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 105711089967 + ... + 105711092433.

Almost surely, 2^{260789261990400} is an apocalyptic number.

260789261990400 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 260789261990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610953784455168).

260789261990400 is an abundant number, since it is smaller than the sum of its proper divisors (961118306919936).

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

260789261990400 is a wasteful number, since it uses less digits than its factorization.

260789261990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 260789261990400 in words is "two hundred sixty trillion, seven hundred eighty-nine billion, two hundred sixty-one million, nine hundred ninety thousand, four hundred".