201542052400 has 60 divisors (see below), whose sum is σ = 521451315952. Its totient is φ = 74415525120.

The previous prime is 201542052329. The next prime is 201542052403. The reversal of 201542052400 is 4250245102.

201542052400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (201542052403) 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, 19373844 + ... + 19384243.

Almost surely, 2^201542052400 is an apocalyptic number.

201542052400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201542052400 is an abundant number, since it is smaller than the sum of its proper divisors (319909263552).

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

201542052400 is a wasteful number, since it uses less digits than its factorization.

201542052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38758118 (or 38758107 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 201542052400 its reverse (4250245102), we get a palindrome (205792297502).

The spelling of 201542052400 in words is "two hundred one billion, five hundred forty-two million, fifty-two thousand, four hundred".