16125531840 has 560 divisors, whose sum is σ = 65323272960. Its totient is φ = 3737733120.

The previous prime is 16125531827. The next prime is 16125531847. The reversal of 16125531840 is 4813552161.

16125531840 is a `hidden beast` number, since 1 + 61 + 2 + 553 + 1 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16125531795 and 16125531804.

It is not an unprimeable number, because it can be changed into a prime (16125531847) 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, 6556531 + ... + 6558989.

Almost surely, 2^16125531840 is an apocalyptic number.

16125531840 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 16125531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32661636480).

16125531840 is an abundant number, since it is smaller than the sum of its proper divisors (49197741120).

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

16125531840 is a wasteful number, since it uses less digits than its factorization.

16125531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 16125531840 in words is "sixteen billion, one hundred twenty-five million, five hundred thirty-one thousand, eight hundred forty".