10021783118400 has 1701 divisors, whose sum is σ = 39543694688043. Its totient is φ = 2406960230400.

The previous prime is 10021783118311. The next prime is 10021783118411. The reversal of 10021783118400 is 481138712001.

The square root of 10021783118400 is 3165720.

It is a perfect power (a square), and thus also a powerful number.

10021783118400 is a `hidden beast` number, since 1 + 0 + 0 + 217 + 8 + 31 + 1 + 8 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 951373947456 + 9070409170944 = 975384^2 + 3011712^2 .

It is a super-2 number, since 2×10021783118400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 270859003182 + ... + 270859003218.

Almost surely, 2^{10021783118400} is an apocalyptic number.

10021783118400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021783118400 is the 3165720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021783118400

10021783118400 is an abundant number, since it is smaller than the sum of its proper divisors (29521911569643).

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

10021783118400 is a wasteful number, since it uses less digits than its factorization.

10021783118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Multiplying 10021783118400 by its sum of digits (36), we get a square (360784192262400 = 18994320²).

10021783118400 divided by its sum of digits (36) gives a square (278382864400 = 527620²).

The spelling of 10021783118400 in words is "ten trillion, twenty-one billion, seven hundred eighty-three million, one hundred eighteen thousand, four hundred".