16957518480 has 400 divisors, whose sum is σ = 67598661504. Its totient is φ = 3859384320.

The previous prime is 16957518463. The next prime is 16957518481. The reversal of 16957518480 is 8481575961.

It is a happy number.

16957518480 is a `hidden beast` number, since 1 + 6 + 95 + 75 + 1 + 8 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16957518481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12836220 + ... + 12837540.

Almost surely, 2^16957518480 is an apocalyptic number.

16957518480 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 16957518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33799330752).

16957518480 is an abundant number, since it is smaller than the sum of its proper divisors (50641143024).

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

16957518480 is a wasteful number, since it uses less digits than its factorization.

16957518480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 16957518480 in words is "sixteen billion, nine hundred fifty-seven million, five hundred eighteen thousand, four hundred eighty".