65215037260800 has 2640 divisors, whose sum is σ = 294657902972928. Its totient is φ = 13912296652800.

The previous prime is 65215037260799. The next prime is 65215037260837. The reversal of 65215037260800 is 806273051256.

65215037260800 is a `hidden beast` number, since 6 + 5 + 2 + 1 + 5 + 0 + 37 + 2 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31338315760 + ... + 31338317840.

Almost surely, 2^{65215037260800} is an apocalyptic number.

65215037260800 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 65215037260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147328951486464).

65215037260800 is an abundant number, since it is smaller than the sum of its proper divisors (229442865712128).

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

65215037260800 is a wasteful number, since it uses less digits than its factorization.

65215037260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 65215037260800 in words is "sixty-five trillion, two hundred fifteen billion, thirty-seven million, two hundred sixty thousand, eight hundred".