1971950072832 has 264 divisors, whose sum is σ = 5883250144512. Its totient is φ = 635505868800.

The previous prime is 1971950072767. The next prime is 1971950072861. The reversal of 1971950072832 is 2382700591791.

It is a happy number.

1971950072832 is a `hidden beast` number, since 1 + 97 + 19 + 500 + 7 + 2 + 8 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373402032 + ... + 373407312.

Almost surely, 2^{1971950072832} is an apocalyptic number.

1971950072832 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 1971950072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941625072256).

1971950072832 is an abundant number, since it is smaller than the sum of its proper divisors (3911300071680).

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

1971950072832 is a wasteful number, since it uses less digits than its factorization.

1971950072832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6645 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 1971950072832 in words is "one trillion, nine hundred seventy-one billion, nine hundred fifty million, seventy-two thousand, eight hundred thirty-two".