65382100992 has 624 divisors, whose sum is σ = 219058531328. Its totient is φ = 19349176320.

The previous prime is 65382100969. The next prime is 65382101017. The reversal of 65382100992 is 29900128356.

65382100992 is a `hidden beast` number, since 6 + 538 + 2 + 100 + 9 + 9 + 2 = 666.

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

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, 401117103 + ... + 401117265.

Almost surely, 2^65382100992 is an apocalyptic number.

65382100992 is a gapful number since it is divisible by the number (62) 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 65382100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109529265664).

65382100992 is an abundant number, since it is smaller than the sum of its proper divisors (153676430336).

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

65382100992 is a wasteful number, since it uses less digits than its factorization.

65382100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 65382100992 in words is "sixty-five billion, three hundred eighty-two million, one hundred thousand, nine hundred ninety-two".