1027918582152 has 192 divisors, whose sum is σ = 3432753043200. Its totient is φ = 252939576960.

The previous prime is 1027918582127. The next prime is 1027918582153. The reversal of 1027918582152 is 2512858197201.

1027918582152 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 super-2 number, since 2×1027918582152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1027918582095 and 1027918582104.

It is not an unprimeable number, because it can be changed into a prime (1027918582153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1845318 + ... + 2336885.

It is an arithmetic number, because the mean of its divisors is an integer number (17878922100).

Almost surely, 2^{1027918582152} is an apocalyptic number.

1027918582152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1027918582152 is an abundant number, since it is smaller than the sum of its proper divisors (2404834461048).

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

1027918582152 is a wasteful number, since it uses less digits than its factorization.

1027918582152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182256 (or 4182245 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 51.

The spelling of 1027918582152 in words is "one trillion, twenty-seven billion, nine hundred eighteen million, five hundred eighty-two thousand, one hundred fifty-two".