10063837022400 has 1008 divisors, whose sum is σ = 42316562169856. Its totient is φ = 2220407562240.

The previous prime is 10063837022333. The next prime is 10063837022557. The reversal of 10063837022400 is 422073836001.

It is a happy number.

10063837022400 is a `hidden beast` number, since 1 + 0 + 0 + 63 + 8 + 370 + 224 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10063837022400² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 473648577 + ... + 473669823.

Almost surely, 2^{10063837022400} is an apocalyptic number.

10063837022400 is a gapful number since it is divisible by the number (10) 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 10063837022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21158281084928).

10063837022400 is an abundant number, since it is smaller than the sum of its proper divisors (32252725147456).

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

10063837022400 is a wasteful number, since it uses less digits than its factorization.

10063837022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21446 (or 21428 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10063837022400 in words is "ten trillion, sixty-three billion, eight hundred thirty-seven million, twenty-two thousand, four hundred".