20868962400 has 432 divisors, whose sum is σ = 86458685040. Its totient is φ = 4669747200.

The previous prime is 20868962369. The next prime is 20868962431. The reversal of 20868962400 is 426986802.

It is an interprime number because it is at equal distance from previous prime (20868962369) and next prime (20868962431).

It is a super-2 number, since 2×20868962400² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1019466 + ... + 1039734.

It is an arithmetic number, because the mean of its divisors is an integer number (200135845).

Almost surely, 2^20868962400 is an apocalyptic number.

20868962400 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 20868962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43229342520).

20868962400 is an abundant number, since it is smaller than the sum of its proper divisors (65589722640).

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

20868962400 is a wasteful number, since it uses less digits than its factorization.

20868962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20319 (or 20303 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 20868962400 in words is "twenty billion, eight hundred sixty-eight million, nine hundred sixty-two thousand, four hundred".