65571385032000 has 4480 divisors, whose sum is σ = 288563168424960. Its totient is φ = 14574786969600.

The previous prime is 65571385031941. The next prime is 65571385032047. The reversal of 65571385032000 is 23058317556.

65571385032000 is a `hidden beast` number, since 6 + 5 + 5 + 7 + 138 + 503 + 2 + 0 + 0 + 0 = 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 639 ways as a sum of consecutive naturals, for example, 255141575872 + ... + 255141576128.

Almost surely, 2^{65571385032000} is an apocalyptic number.

65571385032000 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 65571385032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144281584212480).

65571385032000 is an abundant number, since it is smaller than the sum of its proper divisors (222991783392960).

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

65571385032000 is a wasteful number, since it uses less digits than its factorization.

65571385032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 65571385032000 in words is "sixty-five trillion, five hundred seventy-one billion, three hundred eighty-five million, thirty-two thousand".