1117558052000 has 192 divisors, whose sum is σ = 2965879766304. Its totient is φ = 411405926400.

The previous prime is 1117558051999. The next prime is 1117558052057. The reversal of 1117558052000 is 2508557111.

It can be written as a sum of positive squares in 16 ways, for example, as 587509986064 + 530048065936 = 766492^2 + 728044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17492114 + ... + 17555886.

Almost surely, 2^{1117558052000} is an apocalyptic number.

1117558052000 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 1117558052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482939883152).

1117558052000 is an abundant number, since it is smaller than the sum of its proper divisors (1848321714304).

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

1117558052000 is a wasteful number, since it uses less digits than its factorization.

1117558052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64148 (or 64130 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 35.

The spelling of 1117558052000 in words is "one trillion, one hundred seventeen billion, five hundred fifty-eight million, fifty-two thousand".