20202356966400 has 5280 divisors, whose sum is σ = 99068459212800. Its totient is φ = 3955831603200.

The previous prime is 20202356966387. The next prime is 20202356966413. The reversal of 20202356966400 is 466965320202.

20202356966400 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 23 + 569 + 6 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20202356966387) and next prime (20202356966413).

It is a super-2 number, since 2×20202356966400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 145340697531 + ... + 145340697669.

It is an arithmetic number, because the mean of its divisors is an integer number (18762965760).

Almost surely, 2^{20202356966400} is an apocalyptic number.

20202356966400 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 20202356966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49534229606400).

20202356966400 is an abundant number, since it is smaller than the sum of its proper divisors (78866102246400).

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

20202356966400 is a wasteful number, since it uses less digits than its factorization.

20202356966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 20202356966400 in words is "twenty trillion, two hundred two billion, three hundred fifty-six million, nine hundred sixty-six thousand, four hundred".