10427893824 has 224 divisors, whose sum is σ = 29635338240. Its totient is φ = 3228825600.

The previous prime is 10427893799. The next prime is 10427893849. The reversal of 10427893824 is 42839872401.

It is an interprime number because it is at equal distance from previous prime (10427893799) and next prime (10427893849).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24769134 + ... + 24769554.

Almost surely, 2^10427893824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10427893824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817669120).

10427893824 is an abundant number, since it is smaller than the sum of its proper divisors (19207444416).

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

10427893824 is a wasteful number, since it uses less digits than its factorization.

10427893824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 10427893824 in words is "ten billion, four hundred twenty-seven million, eight hundred ninety-three thousand, eight hundred twenty-four".