1972745280000 has 3000 divisors, whose sum is σ = 8794674706356. Its totient is φ = 437944320000.

The previous prime is 1972745279971. The next prime is 1972745280047. The reversal of 1972745280000 is 825472791.

It is a happy number.

1972745280000 is a `hidden beast` number, since 197 + 2 + 7 + 452 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 16461916416 + 1956283363584 = 128304^2 + 1398672^2 .

It is a tau number, because it is divible by the number of its divisors (3000).

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 299 ways as a sum of consecutive naturals, for example, 53317439982 + ... + 53317440018.

Almost surely, 2^{1972745280000} is an apocalyptic number.

1972745280000 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 1972745280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397337353178).

1972745280000 is an abundant number, since it is smaller than the sum of its proper divisors (6821929426356).

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

1972745280000 is an equidigital number, since it uses as much as digits as its factorization.

1972745280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1972745280000 in words is "one trillion, nine hundred seventy-two billion, seven hundred forty-five million, two hundred eighty thousand".