187900782048 has 768 divisors, whose sum is σ = 668860416000. Its totient is φ = 50193561600.

The previous prime is 187900781989. The next prime is 187900782061. The reversal of 187900782048 is 840287009781.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 187900781985 and 187900782003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 983773633 + ... + 983773823.

It is an arithmetic number, because the mean of its divisors is an integer number (870912000).

Almost surely, 2^187900782048 is an apocalyptic number.

187900782048 is a gapful number since it is divisible by the number (18) 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 187900782048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334430208000).

187900782048 is an abundant number, since it is smaller than the sum of its proper divisors (480959633952).

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

187900782048 is a wasteful number, since it uses less digits than its factorization.

187900782048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 187900782048 in words is "one hundred eighty-seven billion, nine hundred million, seven hundred eighty-two thousand, forty-eight".