975382128000 has 1024 divisors, whose sum is σ = 4206572697600. Its totient is φ = 217479168000.

The previous prime is 975382127989. The next prime is 975382128013. The reversal of 975382128000 is 821283579.

It is a happy number.

975382128000 is a `hidden beast` number, since 97 + 538 + 2 + 1 + 28 + 0 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 123980067 + ... + 123987933.

It is an arithmetic number, because the mean of its divisors is an integer number (4107981150).

Almost surely, 2^975382128000 is an apocalyptic number.

975382128000 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 975382128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103286348800).

975382128000 is an abundant number, since it is smaller than the sum of its proper divisors (3231190569600).

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

975382128000 is a wasteful number, since it uses less digits than its factorization.

975382128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7953 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 975382128000 in words is "nine hundred seventy-five billion, three hundred eighty-two million, one hundred twenty-eight thousand".