20124991382400 has 1152 divisors, whose sum is σ = 76622777971200. Its totient is φ = 5158212710400.

The previous prime is 20124991382357. The next prime is 20124991382437. The reversal of 20124991382400 is 428319942102.

20124991382400 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 499 + 138 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 13533954457 + ... + 13533955943.

It is an arithmetic number, because the mean of its divisors is an integer number (66512828100).

Almost surely, 2^{20124991382400} is an apocalyptic number.

20124991382400 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 20124991382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38311388985600).

20124991382400 is an abundant number, since it is smaller than the sum of its proper divisors (56497786588800).

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

20124991382400 is a wasteful number, since it uses less digits than its factorization.

20124991382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 20124991382400 in words is "twenty trillion, one hundred twenty-four billion, nine hundred ninety-one million, three hundred eighty-two thousand, four hundred".