10532504000 has 224 divisors, whose sum is σ = 26885993472. Its totient is φ = 4085760000.

The previous prime is 10532503973. The next prime is 10532504009. The reversal of 10532504000 is 40523501.

It is a super-2 number, since 2×10532504000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10532504009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55143905 + ... + 55144095.

Almost surely, 2^10532504000 is an apocalyptic number.

10532504000 is a gapful number since it is divisible by the number (10) 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 10532504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13442996736).

10532504000 is an abundant number, since it is smaller than the sum of its proper divisors (16353489472).

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

10532504000 is a wasteful number, since it uses less digits than its factorization.

10532504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 10532504000 in words is "ten billion, five hundred thirty-two million, five hundred four thousand".