62398261200 has 240 divisors, whose sum is σ = 218314598400. Its totient is φ = 15108748800.

The previous prime is 62398261147. The next prime is 62398261231. The reversal of 62398261200 is 216289326.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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, 13448481 + ... + 13453119.

It is an arithmetic number, because the mean of its divisors is an integer number (909644160).

Almost surely, 2^62398261200 is an apocalyptic number.

62398261200 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 62398261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109157299200).

62398261200 is an abundant number, since it is smaller than the sum of its proper divisors (155916337200).

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

62398261200 is a wasteful number, since it uses less digits than its factorization.

62398261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 62398261200 in words is "sixty-two billion, three hundred ninety-eight million, two hundred sixty-one thousand, two hundred".