65252451600 has 720 divisors, whose sum is σ = 266250816000. Its totient is φ = 14491975680.

The previous prime is 65252451587. The next prime is 65252451611. The reversal of 65252451600 is 615425256.

65252451600 is a `hidden beast` number, since 6 + 5 + 2 + 5 + 2 + 45 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145328176 + ... + 145328624.

It is an arithmetic number, because the mean of its divisors is an integer number (369792800).

Almost surely, 2^65252451600 is an apocalyptic number.

65252451600 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 65252451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133125408000).

65252451600 is an abundant number, since it is smaller than the sum of its proper divisors (200998364400).

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

65252451600 is a wasteful number, since it uses less digits than its factorization.

65252451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 65252451600 its reverse (615425256), we get a palindrome (65867876856).

The spelling of 65252451600 in words is "sixty-five billion, two hundred fifty-two million, four hundred fifty-one thousand, six hundred".