10501763078400 has 648 divisors, whose sum is σ = 38200447306560. Its totient is φ = 2538847027200.

The previous prime is 10501763078357. The next prime is 10501763078539. The reversal of 10501763078400 is 487036710501.

It is a super-2 number, since 2×10501763078400² (a number of 27 digits) contains 22 as substring.

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, 866547541 + ... + 866559659.

Almost surely, 2^{10501763078400} is an apocalyptic number.

10501763078400 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 10501763078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19100223653280).

10501763078400 is an abundant number, since it is smaller than the sum of its proper divisors (27698684228160).

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

10501763078400 is a wasteful number, since it uses less digits than its factorization.

10501763078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12543 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

Adding to 10501763078400 its reverse (487036710501), we get a palindrome (10988799788901).

The spelling of 10501763078400 in words is "ten trillion, five hundred one billion, seven hundred sixty-three million, seventy-eight thousand, four hundred".