10626861474432 has 896 divisors, whose sum is σ = 39195801936000. Its totient is φ = 2857497108480.

The previous prime is 10626861474413. The next prime is 10626861474487. The reversal of 10626861474432 is 23447416862601.

10626861474432 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 68 + 6 + 147 + 4 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×10626861474432² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 544092507 + ... + 544112037.

Almost surely, 2^{10626861474432} is an apocalyptic number.

10626861474432 is a gapful number since it is divisible by the number (12) 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 10626861474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19597900968000).

10626861474432 is an abundant number, since it is smaller than the sum of its proper divisors (28568940461568).

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

10626861474432 is an frugal number, since it uses more digits than its factorization.

10626861474432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19601 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 10626861474432 in words is "ten trillion, six hundred twenty-six billion, eight hundred sixty-one million, four hundred seventy-four thousand, four hundred thirty-two".