201378753193000 has 128 divisors (see below), whose sum is σ = 497818392364800. Its totient is φ = 76036452192000.

The previous prime is 201378753192979. The next prime is 201378753193063. The reversal of 201378753193000 is 391357873102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13868556 + ... + 24394555.

It is an arithmetic number, because the mean of its divisors is an integer number (3889206190350).

Almost surely, 2^{201378753193000} is an apocalyptic number.

201378753193000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201378753193000 is an abundant number, since it is smaller than the sum of its proper divisors (296439639171800).

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

201378753193000 is a wasteful number, since it uses less digits than its factorization.

201378753193000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38263428 (or 38263414 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 201378753193000 in words is "two hundred one trillion, three hundred seventy-eight billion, seven hundred fifty-three million, one hundred ninety-three thousand".