260621502400 has 336 divisors, whose sum is σ = 750612672000. Its totient is φ = 87218933760.

The previous prime is 260621502377. The next prime is 260621502443. The reversal of 260621502400 is 4205126062.

It is a super-4 number, since 4×260621502400⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 98457877 + ... + 98460523.

Almost surely, 2^260621502400 is an apocalyptic number.

260621502400 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 260621502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375306336000).

260621502400 is an abundant number, since it is smaller than the sum of its proper divisors (489991169600).

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

260621502400 is a wasteful number, since it uses less digits than its factorization.

260621502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 260621502400 its reverse (4205126062), we get a palindrome (264826628462).

The spelling of 260621502400 in words is "two hundred sixty billion, six hundred twenty-one million, five hundred two thousand, four hundred".