971981049600 has 324 divisors, whose sum is σ = 3790967878152. Its totient is φ = 235631616000.

The previous prime is 971981049581. The next prime is 971981049623. The reversal of 971981049600 is 6940189179.

971981049600 is a `hidden beast` number, since 9 + 7 + 19 + 8 + 10 + 4 + 9 + 600 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133431 + ... + 1400630.

Almost surely, 2^971981049600 is an apocalyptic number.

971981049600 is a gapful number since it is divisible by the number (90) 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 971981049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895483939076).

971981049600 is an abundant number, since it is smaller than the sum of its proper divisors (2818986828552).

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

971981049600 is a wasteful number, since it uses less digits than its factorization.

971981049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534104 (or 1534082 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 971981049600 in words is "nine hundred seventy-one billion, nine hundred eighty-one million, forty-nine thousand, six hundred".