201678077214720 has 2400 divisors, whose sum is σ = 794052514886400. Its totient is φ = 48976635101184.

The previous prime is 201678077214683. The next prime is 201678077214737. The reversal of 201678077214720 is 27412770876102.

It is a happy number.

201678077214720 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 7 + 80 + 77 + 21 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 888449679247 + ... + 888449679473.

It is an arithmetic number, because the mean of its divisors is an integer number (330855214536).

Almost surely, 2^{201678077214720} is an apocalyptic number.

201678077214720 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 201678077214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397026257443200).

201678077214720 is an abundant number, since it is smaller than the sum of its proper divisors (592374437671680).

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

201678077214720 is an frugal number, since it uses more digits than its factorization.

201678077214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 201678077214720 in words is "two hundred one trillion, six hundred seventy-eight billion, seventy-seven million, two hundred fourteen thousand, seven hundred twenty".