21125601024 has 216 divisors, whose sum is σ = 62060549376. Its totient is φ = 6374860800.

The previous prime is 21125601023. The next prime is 21125601037. The reversal of 21125601024 is 42010652112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21125600985 and 21125601003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21125601023) 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, 43025419 + ... + 43025909.

Almost surely, 2^21125601024 is an apocalyptic number.

21125601024 is a gapful number since it is divisible by the number (24) 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 21125601024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31030274688).

21125601024 is an abundant number, since it is smaller than the sum of its proper divisors (40934948352).

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

21125601024 is a wasteful number, since it uses less digits than its factorization.

21125601024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 21125601024 in words is "twenty-one billion, one hundred twenty-five million, six hundred one thousand, twenty-four".