16151264640 has 768 divisors, whose sum is σ = 69503616000. Its totient is φ = 3372171264.

The previous prime is 16151264639. The next prime is 16151264641. The reversal of 16151264640 is 4646215161.

16151264640 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 1 + 2 + 6 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (16151264639) and next prime (16151264641).

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 = 16151264595 and 16151264604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16151264641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22215957 + ... + 22216683.

It is an arithmetic number, because the mean of its divisors is an integer number (90499500).

Almost surely, 2^16151264640 is an apocalyptic number.

16151264640 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 16151264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34751808000).

16151264640 is an abundant number, since it is smaller than the sum of its proper divisors (53352351360).

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

16151264640 is a wasteful number, since it uses less digits than its factorization.

16151264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16151264640 in words is "sixteen billion, one hundred fifty-one million, two hundred sixty-four thousand, six hundred forty".