20787062400 has 960 divisors, whose sum is σ = 85702848000. Its totient is φ = 4926873600.

The previous prime is 20787062393. The next prime is 20787062449. The reversal of 20787062400 is 426078702.

20787062400 is a `hidden beast` number, since 20 + 7 + 8 + 7 + 0 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104457501 + ... + 104457699.

It is an arithmetic number, because the mean of its divisors is an integer number (89273800).

Almost surely, 2^20787062400 is an apocalyptic number.

20787062400 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 20787062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42851424000).

20787062400 is an abundant number, since it is smaller than the sum of its proper divisors (64915785600).

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

20787062400 is a wasteful number, since it uses less digits than its factorization.

20787062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 20787062400 in words is "twenty billion, seven hundred eighty-seven million, sixty-two thousand, four hundred".