1972504023552 has 320 divisors, whose sum is σ = 5881873536000. Its totient is φ = 652664438784.

The previous prime is 1972504023551. The next prime is 1972504023559. The reversal of 1972504023552 is 2553204052791.

1972504023552 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 50 + 40 + 2 + 3 + 552 = 666.

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 junction number, because it is equal to n+sod(n) for n = 1972504023498 and 1972504023507.

It is not an unprimeable number, because it can be changed into a prime (1972504023551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370745649 + ... + 1370747087.

It is an arithmetic number, because the mean of its divisors is an integer number (18380854800).

Almost surely, 2^{1972504023552} is an apocalyptic number.

1972504023552 is a gapful number since it is divisible by the number (12) 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 1972504023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940936768000).

1972504023552 is an abundant number, since it is smaller than the sum of its proper divisors (3909369512448).

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

1972504023552 is a wasteful number, since it uses less digits than its factorization.

1972504023552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1972504023552 in words is "one trillion, nine hundred seventy-two billion, five hundred four million, twenty-three thousand, five hundred fifty-two".