10535025984 has 448 divisors, whose sum is σ = 34928812032. Its totient is φ = 2737152000.

The previous prime is 10535025913. The next prime is 10535025997. The reversal of 10535025984 is 48952053501.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10535025984² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 69768309 + ... + 69768459.

Almost surely, 2^10535025984 is an apocalyptic number.

10535025984 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 10535025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17464406016).

10535025984 is an abundant number, since it is smaller than the sum of its proper divisors (24393786048).

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

10535025984 is a wasteful number, since it uses less digits than its factorization.

10535025984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 10535025984 in words is "ten billion, five hundred thirty-five million, twenty-five thousand, nine hundred eighty-four".