65529072000 has 1152 divisors, whose sum is σ = 282271560480. Its totient is φ = 14515200000.

The previous prime is 65529071989. The next prime is 65529072031. The reversal of 65529072000 is 27092556.

65529072000 is a `hidden beast` number, since 65 + 529 + 0 + 72 + 0 + 0 + 0 = 666.

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 (36).

It is a congruent number.

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, 261071875 + ... + 261072125.

Almost surely, 2^65529072000 is an apocalyptic number.

65529072000 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 65529072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141135780240).

65529072000 is an abundant number, since it is smaller than the sum of its proper divisors (216742488480).

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

65529072000 is a wasteful number, since it uses less digits than its factorization.

65529072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 65529072000 in words is "sixty-five billion, five hundred twenty-nine million, seventy-two thousand".