351863552510400 has 672 divisors, whose sum is σ = 1341904606894080. Its totient is φ = 79049694228480.

The previous prime is 351863552510389. The next prime is 351863552510417. The reversal of 351863552510400 is 4015255368153.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 351863552510400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16784970319 + ... + 16784991281.

Almost surely, 2^{351863552510400} is an apocalyptic number.

351863552510400 is a gapful number since it is divisible by the number (30) 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 351863552510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670952303447040).

351863552510400 is an abundant number, since it is smaller than the sum of its proper divisors (990041054383680).

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

351863552510400 is a wasteful number, since it uses less digits than its factorization.

351863552510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29521 (or 29506 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 351863552510400 in words is "three hundred fifty-one trillion, eight hundred sixty-three billion, five hundred fifty-two million, five hundred ten thousand, four hundred".