65219810040 has 896 divisors, whose sum is σ = 283456696320. Its totient is φ = 13101004800.

The previous prime is 65219810023. The next prime is 65219810057. The reversal of 65219810040 is 4001891256.

65219810040 is a `hidden beast` number, since 6 + 521 + 98 + 1 + 0 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (65219810023) and next prime (65219810057).

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

It is a junction number, because it is equal to n+sod(n) for n = 65219809977 and 65219810004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 69604452 + ... + 69605388.

It is an arithmetic number, because the mean of its divisors is an integer number (316357920).

Almost surely, 2^65219810040 is an apocalyptic number.

65219810040 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 65219810040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141728348160).

65219810040 is an abundant number, since it is smaller than the sum of its proper divisors (218236886280).

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

65219810040 is a wasteful number, since it uses less digits than its factorization.

65219810040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 65219810040 in words is "sixty-five billion, two hundred nineteen million, eight hundred ten thousand, forty".