395954763063552 has 720 divisors, whose sum is σ = 1535998571154432. Its totient is φ = 98373845053440.

The previous prime is 395954763063547. The next prime is 395954763063589. The reversal of 395954763063552 is 255360367459593.

395954763063552 is a `hidden beast` number, since 3 + 9 + 5 + 9 + 5 + 4 + 7 + 6 + 3 + 0 + 63 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 31332423 + ... + 42114489.

Almost surely, 2^{395954763063552} is an apocalyptic number.

395954763063552 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 395954763063552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767999285577216).

395954763063552 is an abundant number, since it is smaller than the sum of its proper divisors (1140043808090880).

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

395954763063552 is a wasteful number, since it uses less digits than its factorization.

395954763063552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782136 (or 10782113 counting only the distinct ones).

The product of its (nonzero) digits is 2755620000, while the sum is 72.

The spelling of 395954763063552 in words is "three hundred ninety-five trillion, nine hundred fifty-four billion, seven hundred sixty-three million, sixty-three thousand, five hundred fifty-two".