187712249040 has 320 divisors, whose sum is σ = 668257228800. Its totient is φ = 48381235200.

The previous prime is 187712249029. The next prime is 187712249089. The reversal of 187712249040 is 40942217781.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82292700 + ... + 82294980.

It is an arithmetic number, because the mean of its divisors is an integer number (2088303840).

Almost surely, 2^187712249040 is an apocalyptic number.

187712249040 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 187712249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334128614400).

187712249040 is an abundant number, since it is smaller than the sum of its proper divisors (480544979760).

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

187712249040 is a wasteful number, since it uses less digits than its factorization.

187712249040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 187712249040 in words is "one hundred eighty-seven billion, seven hundred twelve million, two hundred forty-nine thousand, forty".