201276152400 has 120 divisors (see below), whose sum is σ = 646815734080. Its totient is φ = 53502059520.

The previous prime is 201276152377. The next prime is 201276152417. The reversal of 201276152400 is 4251672102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107661 + ... + 643539.

Almost surely, 2^201276152400 is an apocalyptic number.

201276152400 is a gapful number since it is divisible by the number (20) 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 201276152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323407867040).

201276152400 is an abundant number, since it is smaller than the sum of its proper divisors (445539581680).

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

201276152400 is a wasteful number, since it uses less digits than its factorization.

201276152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536213 (or 536202 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 201276152400 in words is "two hundred one billion, two hundred seventy-six million, one hundred fifty-two thousand, four hundred".