1971154128000 has 512 divisors, whose sum is σ = 6874556832000. Its totient is φ = 498892800000.

The previous prime is 1971154127989. The next prime is 1971154128049. The reversal of 1971154128000 is 8214511791.

It is a self number, because there is not a number n which added to its sum of digits gives 1971154128000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82116000 + ... + 82140000.

Almost surely, 2^{1971154128000} is an apocalyptic number.

1971154128000 is a gapful number since it is divisible by the number (10) 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 1971154128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437278416000).

1971154128000 is an abundant number, since it is smaller than the sum of its proper divisors (4903402704000).

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

1971154128000 is a wasteful number, since it uses less digits than its factorization.

1971154128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24121 (or 24099 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

Adding to 1971154128000 its reverse (8214511791), we get a palindrome (1979368639791).

The spelling of 1971154128000 in words is "one trillion, nine hundred seventy-one billion, one hundred fifty-four million, one hundred twenty-eight thousand".