972195451920 has 1280 divisors, whose sum is σ = 4653473587200. Its totient is φ = 180114554880.

The previous prime is 972195451853. The next prime is 972195451933. The reversal of 972195451920 is 29154591279.

It is a happy number.

972195451920 is a `hidden beast` number, since 9 + 7 + 2 + 1 + 9 + 545 + 1 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53712312 + ... + 53730408.

It is an arithmetic number, because the mean of its divisors is an integer number (3635526240).

Almost surely, 2^972195451920 is an apocalyptic number.

972195451920 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 972195451920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326736793600).

972195451920 is an abundant number, since it is smaller than the sum of its proper divisors (3681278135280).

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

972195451920 is a wasteful number, since it uses less digits than its factorization.

972195451920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18173 (or 18161 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 972195451920 in words is "nine hundred seventy-two billion, one hundred ninety-five million, four hundred fifty-one thousand, nine hundred twenty".