20116262400 has 480 divisors, whose sum is σ = 72884085120. Its totient is φ = 4860641280.

The previous prime is 20116262389. The next prime is 20116262497. The reversal of 20116262400 is 426261102.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29452459 + ... + 29453141.

It is an arithmetic number, because the mean of its divisors is an integer number (151841844).

Almost surely, 2^20116262400 is an apocalyptic number.

20116262400 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 20116262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36442042560).

20116262400 is an abundant number, since it is smaller than the sum of its proper divisors (52767822720).

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

20116262400 is a wasteful number, since it uses less digits than its factorization.

20116262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 20116262400 in words is "twenty billion, one hundred sixteen million, two hundred sixty-two thousand, four hundred".