1927982952064 has 128 divisors (see below), whose sum is σ = 4191379920000. Its totient is φ = 878063210496.

The previous prime is 1927982952059. The next prime is 1927982952073. The reversal of 1927982952064 is 4602592897291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1927982952064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 1927982951987 and 1927982952005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48484062 + ... + 48523810.

It is an arithmetic number, because the mean of its divisors is an integer number (32745155625).

Almost surely, 2^{1927982952064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1927982952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095689960000).

1927982952064 is an abundant number, since it is smaller than the sum of its proper divisors (2263396967936).

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

1927982952064 is a wasteful number, since it uses less digits than its factorization.

1927982952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40162 (or 40150 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

The spelling of 1927982952064 in words is "one trillion, nine hundred twenty-seven billion, nine hundred eighty-two million, nine hundred fifty-two thousand, sixty-four".