16101504000 has 440 divisors, whose sum is σ = 60045273288. Its totient is φ = 4290969600.

The previous prime is 16101503953. The next prime is 16101504007. The reversal of 16101504000 is 40510161.

16101504000 is a `hidden beast` number, since 1 + 610 + 1 + 50 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2962842624 + 13138661376 = 54432^2 + 114624^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16101504007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367224 + ... + 10368776.

Almost surely, 2^16101504000 is an apocalyptic number.

16101504000 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 16101504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30022636644).

16101504000 is an abundant number, since it is smaller than the sum of its proper divisors (43943769288).

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

16101504000 is an equidigital number, since it uses as much as digits as its factorization.

16101504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 16101504000 in words is "sixteen billion, one hundred one million, five hundred four thousand".