1011917491200 has 1056 divisors, whose sum is σ = 4633234168320. Its totient is φ = 210257510400.

The previous prime is 1011917491199. The next prime is 1011917491217. The reversal of 1011917491200 is 21947191101.

It is a happy number.

1011917491200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 53212894 + ... + 53231906.

Almost surely, 2^{1011917491200} is an apocalyptic number.

1011917491200 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 1011917491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316617084160).

1011917491200 is an abundant number, since it is smaller than the sum of its proper divisors (3621316677120).

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

1011917491200 is a wasteful number, since it uses less digits than its factorization.

1011917491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19070 (or 19041 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 1011917491200 in words is "one trillion, eleven billion, nine hundred seventeen million, four hundred ninety-one thousand, two hundred".