10624228392960 has 1216 divisors, whose sum is σ = 46506354048000. Its totient is φ = 2240915963904.

The previous prime is 10624228392959. The next prime is 10624228392991. The reversal of 10624228392960 is 6929382242601.

10624228392960 is a `hidden beast` number, since 1 + 0 + 6 + 24 + 228 + 392 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×10624228392960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10624228392897 and 10624228392906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3220437391 + ... + 3220440689.

Almost surely, 2^{10624228392960} is an apocalyptic number.

10624228392960 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 10624228392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23253177024000).

10624228392960 is an abundant number, since it is smaller than the sum of its proper divisors (35882125655040).

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

10624228392960 is an frugal number, since it uses more digits than its factorization.

10624228392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 10624228392960 in words is "ten trillion, six hundred twenty-four billion, two hundred twenty-eight million, three hundred ninety-two thousand, nine hundred sixty".