19650432400 has 135 divisors (see below), whose sum is σ = 48631951809. Its totient is φ = 7630277760.

The previous prime is 19650432397. The next prime is 19650432401. The reversal of 19650432400 is 423405691.

It is a happy number.

The square root of 19650432400 is 140180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7074155664 + 12576276736 = 84108^2 + 112144^2 .

It is a super-2 number, since 2×19650432400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19650432401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120554719 + ... + 120554881.

Almost surely, 2^19650432400 is an apocalyptic number.

19650432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19650432400 is the 140180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19650432400

19650432400 is an abundant number, since it is smaller than the sum of its proper divisors (28981519409).

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

19650432400 is an equidigital number, since it uses as much as digits as its factorization.

19650432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 19650432400 in words is "nineteen billion, six hundred fifty million, four hundred thirty-two thousand, four hundred".