20154368160 has 240 divisors, whose sum is σ = 71283221856. Its totient is φ = 5362785792.

The previous prime is 20154368153. The next prime is 20154368197. The reversal of 20154368160 is 6186345102.

It is a happy number.

20154368160 is a `hidden beast` number, since 201 + 5 + 436 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7087699 + ... + 7090541.

Almost surely, 2^20154368160 is an apocalyptic number.

20154368160 is a gapful number since it is divisible by the number (20) 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 20154368160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35641610928).

20154368160 is an abundant number, since it is smaller than the sum of its proper divisors (51128853696).

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

20154368160 is a wasteful number, since it uses less digits than its factorization.

20154368160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3400 counting only the distinct ones).

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

The spelling of 20154368160 in words is "twenty billion, one hundred fifty-four million, three hundred sixty-eight thousand, one hundred sixty".