1920787235136 has 560 divisors, whose sum is σ = 7130120807040. Its totient is φ = 496703508480.

The previous prime is 1920787235099. The next prime is 1920787235137. The reversal of 1920787235136 is 6315327870291.

1920787235136 is a `hidden beast` number, since 1 + 9 + 20 + 7 + 87 + 23 + 513 + 6 = 666.

It is a super-2 number, since 2×1920787235136² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920787235137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91398966 + ... + 91419978.

It is an arithmetic number, because the mean of its divisors is an integer number (12732358584).

Almost surely, 2^{1920787235136} is an apocalyptic number.

1920787235136 is a gapful number since it is divisible by the number (16) 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 1920787235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565060403520).

1920787235136 is an abundant number, since it is smaller than the sum of its proper divisors (5209333571904).

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

1920787235136 is a wasteful number, since it uses less digits than its factorization.

1920787235136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21284 (or 21265 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1920787235136 in words is "one trillion, nine hundred twenty billion, seven hundred eighty-seven million, two hundred thirty-five thousand, one hundred thirty-six".