352553125400 has 96 divisors (see below), whose sum is σ = 938005068000. Its totient is φ = 120717803520.

The previous prime is 352553125381. The next prime is 352553125409. The reversal of 352553125400 is 4521355253.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352553125409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 912866 + ... + 1240334.

It is an arithmetic number, because the mean of its divisors is an integer number (9770886125).

Almost surely, 2^352553125400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352553125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469002534000).

352553125400 is an abundant number, since it is smaller than the sum of its proper divisors (585451942600).

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

352553125400 is a wasteful number, since it uses less digits than its factorization.

352553125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328261 (or 328252 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 352553125400 in words is "three hundred fifty-two billion, five hundred fifty-three million, one hundred twenty-five thousand, four hundred".