201378152253120 has 224 divisors, whose sum is σ = 660765512908800. Its totient is φ = 51908330311680.

The previous prime is 201378152253059. The next prime is 201378152253217. The reversal of 201378152253120 is 21352251873102.

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, 21762406 + ... + 29603354.

Almost surely, 2^{201378152253120} is an apocalyptic number.

201378152253120 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 201378152253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330382756454400).

201378152253120 is an abundant number, since it is smaller than the sum of its proper divisors (459387360655680).

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

201378152253120 is a wasteful number, since it uses less digits than its factorization.

201378152253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7841863 (or 7841853 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 201378152253120 in words is "two hundred one trillion, three hundred seventy-eight billion, one hundred fifty-two million, two hundred fifty-three thousand, one hundred twenty".