62261265120 has 384 divisors, whose sum is σ = 213983078400. Its totient is φ = 15157788672.

The previous prime is 62261265037. The next prime is 62261265151. The reversal of 62261265120 is 2156216226.

It is a super-2 number, since 2×62261265120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38032942 + ... + 38034578.

It is an arithmetic number, because the mean of its divisors is an integer number (557247600).

Almost surely, 2^62261265120 is an apocalyptic number.

62261265120 is a gapful number since it is divisible by the number (60) 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 62261265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106991539200).

62261265120 is an abundant number, since it is smaller than the sum of its proper divisors (151721813280).

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

62261265120 is a wasteful number, since it uses less digits than its factorization.

62261265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 62261265120 in words is "sixty-two billion, two hundred sixty-one million, two hundred sixty-five thousand, one hundred twenty".