260020556400000 has 768 divisors, whose sum is σ = 943814569501440. Its totient is φ = 62898816000000.

The previous prime is 260020556399927. The next prime is 260020556400013. The reversal of 260020556400000 is 4655020062.

It is a super-2 number, since 2×260020556400000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6164378910 + ... + 6164421090.

It is an arithmetic number, because the mean of its divisors is an integer number (1228925220705).

Almost surely, 2^{260020556400000} is an apocalyptic number.

260020556400000 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 260020556400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471907284750720).

260020556400000 is an abundant number, since it is smaller than the sum of its proper divisors (683794013101440).

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

260020556400000 is an equidigital number, since it uses as much as digits as its factorization.

260020556400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42701 (or 42669 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 260020556400000 in words is "two hundred sixty trillion, twenty billion, five hundred fifty-six million, four hundred thousand".