62130528345600 has 2160 divisors, whose sum is σ = 269788510381104. Its totient is φ = 13525843968000.

The previous prime is 62130528345581. The next prime is 62130528345643. The reversal of 62130528345600 is 654382503126.

62130528345600 is a `hidden beast` number, since 6 + 2 + 1 + 3 + 0 + 5 + 2 + 8 + 34 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7923797680 + ... + 7923805520.

Almost surely, 2^{62130528345600} is an apocalyptic number.

62130528345600 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 62130528345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134894255190552).

62130528345600 is an abundant number, since it is smaller than the sum of its proper divisors (207657982035504).

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

62130528345600 is a wasteful number, since it uses less digits than its factorization.

62130528345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7949 (or 7912 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 62130528345600 in words is "sixty-two trillion, one hundred thirty billion, five hundred twenty-eight million, three hundred forty-five thousand, six hundred".