65115648000 has 624 divisors, whose sum is σ = 253024052736. Its totient is φ = 16013721600.

The previous prime is 65115647983. The next prime is 65115648041. The reversal of 65115648000 is 84651156.

65115648000 = 13445² + 13446² + ... + 13795².

65115648000 is a `hidden beast` number, since 6 + 5 + 1 + 1 + 5 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-3 number, since 3×65115648000³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 59903457 + ... + 59904543.

It is an arithmetic number, because the mean of its divisors is an integer number (405487264).

Almost surely, 2^65115648000 is an apocalyptic number.

65115648000 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 65115648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126512026368).

65115648000 is an abundant number, since it is smaller than the sum of its proper divisors (187908404736).

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

65115648000 is a wasteful number, since it uses less digits than its factorization.

65115648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 65115648000 in words is "sixty-five billion, one hundred fifteen million, six hundred forty-eight thousand".