395967510778752 has 640 divisors, whose sum is σ = 1327241413048320. Its totient is φ = 116097322291200.

The previous prime is 395967510778703. The next prime is 395967510778781. The reversal of 395967510778752 is 257877015769593.

395967510778752 is a `hidden beast` number, since 3 + 9 + 5 + 96 + 7 + 510 + 7 + 7 + 8 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32289605773 + ... + 32289618035.

It is an arithmetic number, because the mean of its divisors is an integer number (2073814707888).

Almost surely, 2^{395967510778752} is an apocalyptic number.

395967510778752 is a gapful number since it is divisible by the number (32) 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 395967510778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663620706524160).

395967510778752 is an abundant number, since it is smaller than the sum of its proper divisors (931273902269568).

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

395967510778752 is a wasteful number, since it uses less digits than its factorization.

395967510778752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21464 (or 21443 counting only the distinct ones).

The product of its (nonzero) digits is 7001316000, while the sum is 81.

The spelling of 395967510778752 in words is "three hundred ninety-five trillion, nine hundred sixty-seven billion, five hundred ten million, seven hundred seventy-eight thousand, seven hundred fifty-two".