972666011520 has 384 divisors, whose sum is σ = 3840122520000. Its totient is φ = 222233001984.

The previous prime is 972666011509. The next prime is 972666011539. The reversal of 972666011520 is 25110666279.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187445086 + ... + 187450274.

Almost surely, 2^972666011520 is an apocalyptic number.

972666011520 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 972666011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920061260000).

972666011520 is an abundant number, since it is smaller than the sum of its proper divisors (2867456508480).

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

972666011520 is a wasteful number, since it uses less digits than its factorization.

972666011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9870 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

Adding to 972666011520 its reverse (25110666279), we get a palindrome (997776677799).

The spelling of 972666011520 in words is "nine hundred seventy-two billion, six hundred sixty-six million, eleven thousand, five hundred twenty".