1901772864000 has 1280 divisors, whose sum is σ = 7624986969600. Its totient is φ = 465371136000.

The previous prime is 1901772863957. The next prime is 1901772864011. The reversal of 1901772864000 is 4682771091.

It is a happy number.

1901772864000 is a `hidden beast` number, since 1 + 90 + 17 + 72 + 86 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1204415211 + ... + 1204416789.

It is an arithmetic number, because the mean of its divisors is an integer number (5957021070).

Almost surely, 2^{1901772864000} is an apocalyptic number.

1901772864000 is a gapful number since it is divisible by the number (10) 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 1901772864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812493484800).

1901772864000 is an abundant number, since it is smaller than the sum of its proper divisors (5723214105600).

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

1901772864000 is a wasteful number, since it uses less digits than its factorization.

1901772864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1901772864000 in words is "one trillion, nine hundred one billion, seven hundred seventy-two million, eight hundred sixty-four thousand".