10425066624 has 192 divisors, whose sum is σ = 35467848000. Its totient is φ = 2875815936.

The previous prime is 10425066551. The next prime is 10425066629. The reversal of 10425066624 is 42666052401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10425066624² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10425066629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211567 + ... + 256145.

It is an arithmetic number, because the mean of its divisors is an integer number (184728375).

Almost surely, 2^10425066624 is an apocalyptic number.

10425066624 is a gapful number since it is divisible by the number (14) 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 10425066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17733924000).

10425066624 is an abundant number, since it is smaller than the sum of its proper divisors (25042781376).

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

10425066624 is a wasteful number, since it uses less digits than its factorization.

10425066624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44635 (or 44620 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10425066624 in words is "ten billion, four hundred twenty-five million, sixty-six thousand, six hundred twenty-four".