1081975255200 has 1440 divisors, whose sum is σ = 4746102729984. Its totient is φ = 234519183360.

The previous prime is 1081975255187. The next prime is 1081975255241. The reversal of 1081975255200 is 25525791801.

1081975255200 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 97 + 5 + 2 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1429293222 + ... + 1429293978.

Almost surely, 2^{1081975255200} is an apocalyptic number.

1081975255200 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 1081975255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373051364992).

1081975255200 is an abundant number, since it is smaller than the sum of its proper divisors (3664127474784).

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

1081975255200 is a wasteful number, since it uses less digits than its factorization.

1081975255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 1081975255200 in words is "one trillion, eighty-one billion, nine hundred seventy-five million, two hundred fifty-five thousand, two hundred".