32153142400 has 96 divisors (see below), whose sum is σ = 79629562980. Its totient is φ = 12828672000.

The previous prime is 32153142397. The next prime is 32153142401. The reversal of 32153142400 is 424135123.

It can be written as a sum of positive squares in 6 ways, for example, as 17885317696 + 14267824704 = 133736^2 + 119448^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (32153142401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1270672 + ... + 1295728.

Almost surely, 2^32153142400 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 32153142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39814781490).

32153142400 is an abundant number, since it is smaller than the sum of its proper divisors (47476420580).

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

32153142400 is a wasteful number, since it uses less digits than its factorization.

32153142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25482 (or 25465 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 32153142400 its reverse (424135123), we get a palindrome (32577277523).

The spelling of 32153142400 in words is "thirty-two billion, one hundred fifty-three million, one hundred forty-two thousand, four hundred".