1972731109536 has 240 divisors, whose sum is σ = 6343835718528. Its totient is φ = 596412979200.

The previous prime is 1972731109529. The next prime is 1972731109537. The reversal of 1972731109536 is 6359011372791.

1972731109536 is a `hidden beast` number, since 1 + 9 + 72 + 7 + 31 + 1 + 0 + 9 + 536 = 666.

It is a super-2 number, since 2×1972731109536² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1972731109537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12265801 + ... + 12425591.

Almost surely, 2^{1972731109536} is an apocalyptic number.

1972731109536 is a gapful number since it is divisible by the number (16) 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 1972731109536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171917859264).

1972731109536 is an abundant number, since it is smaller than the sum of its proper divisors (4371104608992).

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

1972731109536 is a wasteful number, since it uses less digits than its factorization.

1972731109536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160257 (or 160240 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 1972731109536 in words is "one trillion, nine hundred seventy-two billion, seven hundred thirty-one million, one hundred nine thousand, five hundred thirty-six".