1071948627200 has 1296 divisors, whose sum is σ = 3361434854400. Its totient is φ = 334400716800.

The previous prime is 1071948627199. The next prime is 1071948627263. The reversal of 1071948627200 is 27268491701.

It is a super-2 number, since 2×1071948627200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18168620771 + ... + 18168620829.

Almost surely, 2^{1071948627200} is an apocalyptic number.

1071948627200 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 1071948627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680717427200).

1071948627200 is an abundant number, since it is smaller than the sum of its proper divisors (2289486227200).

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

1071948627200 is a wasteful number, since it uses less digits than its factorization.

1071948627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 1071948627200 in words is "one trillion, seventy-one billion, nine hundred forty-eight million, six hundred twenty-seven thousand, two hundred".