10622870726400 has 648 divisors, whose sum is σ = 38724942816560. Its totient is φ = 2777681756160.

The previous prime is 10622870726357. The next prime is 10622870726417. The reversal of 10622870726400 is 462707822601.

It is a happy number.

10622870726400 is a `hidden beast` number, since 10 + 6 + 228 + 7 + 0 + 7 + 2 + 6 + 400 = 666.

It is a super-2 number, since 2×10622870726400² (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 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, 608996079 + ... + 609013521.

Almost surely, 2^{10622870726400} is an apocalyptic number.

10622870726400 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 10622870726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362471408280).

10622870726400 is an abundant number, since it is smaller than the sum of its proper divisors (28102072090160).

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

10622870726400 is a wasteful number, since it uses less digits than its factorization.

10622870726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17681 (or 17659 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10622870726400 in words is "ten trillion, six hundred twenty-two billion, eight hundred seventy million, seven hundred twenty-six thousand, four hundred".