1191838142700 has 648 divisors, whose sum is σ = 4128198861696. Its totient is φ = 287214336000.

The previous prime is 1191838142699. The next prime is 1191838142723. The reversal of 1191838142700 is 72418381911.

It is a happy number.

1191838142700 is a `hidden beast` number, since 1 + 191 + 8 + 38 + 1 + 427 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 735247890 + ... + 735249510.

Almost surely, 2^{1191838142700} is an apocalyptic number.

1191838142700 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 1191838142700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064099430848).

1191838142700 is an abundant number, since it is smaller than the sum of its proper divisors (2936360718996).

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

1191838142700 is a wasteful number, since it uses less digits than its factorization.

1191838142700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1191838142700 in words is "one trillion, one hundred ninety-one billion, eight hundred thirty-eight million, one hundred forty-two thousand, seven hundred".