20100588480 has 896 divisors, whose sum is σ = 85394718720. Its totient is φ = 4354560000.

The previous prime is 20100588451. The next prime is 20100588499. The reversal of 20100588480 is 8488500102.

20100588480 is a `hidden beast` number, since 20 + 10 + 0 + 588 + 48 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 133116405 + ... + 133116555.

Almost surely, 2^20100588480 is an apocalyptic number.

20100588480 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 20100588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42697359360).

20100588480 is an abundant number, since it is smaller than the sum of its proper divisors (65294130240).

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

20100588480 is a wasteful number, since it uses less digits than its factorization.

20100588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 20100588480 in words is "twenty billion, one hundred million, five hundred eighty-eight thousand, four hundred eighty".