65787080325120 has 1152 divisors, whose sum is σ = 293766184857600. Its totient is φ = 13669994004480.

The previous prime is 65787080325107. The next prime is 65787080325133. The reversal of 65787080325120 is 2152308078756.

65787080325120 is a `hidden beast` number, since 6 + 57 + 8 + 70 + 8 + 0 + 3 + 2 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65787080325107) and next prime (65787080325133).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 234038097 + ... + 234319023.

It is an arithmetic number, because the mean of its divisors is an integer number (255005368800).

Almost surely, 2^{65787080325120} is an apocalyptic number.

65787080325120 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 65787080325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146883092428800).

65787080325120 is an abundant number, since it is smaller than the sum of its proper divisors (227979104532480).

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

65787080325120 is a wasteful number, since it uses less digits than its factorization.

65787080325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280992 (or 280955 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 65787080325120 in words is "sixty-five trillion, seven hundred eighty-seven billion, eighty million, three hundred twenty-five thousand, one hundred twenty".