20154579840 has 1024 divisors, whose sum is σ = 83545344000. Its totient is φ = 4554620928.

The previous prime is 20154579799. The next prime is 20154579871. The reversal of 20154579840 is 4897545102.

20154579840 is a `hidden beast` number, since 20 + 1 + 54 + 579 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128373042 + ... + 128373198.

It is an arithmetic number, because the mean of its divisors is an integer number (81587250).

Almost surely, 2^20154579840 is an apocalyptic number.

20154579840 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 20154579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41772672000).

20154579840 is an abundant number, since it is smaller than the sum of its proper divisors (63390764160).

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

20154579840 is a wasteful number, since it uses less digits than its factorization.

20154579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 20154579840 in words is "twenty billion, one hundred fifty-four million, five hundred seventy-nine thousand, eight hundred forty".