972800158176 has 336 divisors, whose sum is σ = 3580042209408. Its totient is φ = 252674899200.

The previous prime is 972800158163. The next prime is 972800158177. The reversal of 972800158176 is 671851008279.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972800158177) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1525471 + ... + 2067041.

It is an arithmetic number, because the mean of its divisors is an integer number (10654887528).

Almost surely, 2^972800158176 is an apocalyptic number.

972800158176 is a gapful number since it is divisible by the number (96) 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 972800158176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790021104704).

972800158176 is an abundant number, since it is smaller than the sum of its proper divisors (2607242051232).

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

972800158176 is a wasteful number, since it uses less digits than its factorization.

972800158176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541617 (or 541594 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 972800158176 in words is "nine hundred seventy-two billion, eight hundred million, one hundred fifty-eight thousand, one hundred seventy-six".