1026519972192 has 576 divisors, whose sum is σ = 3651977871360. Its totient is φ = 268705382400.

The previous prime is 1026519972157. The next prime is 1026519972271. The reversal of 1026519972192 is 2912799156201.

It is a happy number.

1026519972192 is a `hidden beast` number, since 1 + 0 + 26 + 519 + 97 + 2 + 19 + 2 = 666.

1026519972192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125318817 + ... + 125327007.

It is an arithmetic number, because the mean of its divisors is an integer number (6340239360).

Almost surely, 2^{1026519972192} is an apocalyptic number.

1026519972192 is a gapful number since it is divisible by the number (12) 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 1026519972192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825988935680).

1026519972192 is an abundant number, since it is smaller than the sum of its proper divisors (2625457899168).

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

1026519972192 is a wasteful number, since it uses less digits than its factorization.

1026519972192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 1026519972192 in words is "one trillion, twenty-six billion, five hundred nineteen million, nine hundred seventy-two thousand, one hundred ninety-two".