10532406780 has 384 divisors, whose sum is σ = 39870351360. Its totient is φ = 2253312000.

The previous prime is 10532406769. The next prime is 10532406793. The reversal of 10532406780 is 8760423501.

10532406780 is a `hidden beast` number, since 1 + 0 + 532 + 40 + 6 + 7 + 80 = 666.

It is a super-2 number, since 2×10532406780² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16128934 + ... + 16129586.

It is an arithmetic number, because the mean of its divisors is an integer number (103829040).

Almost surely, 2^10532406780 is an apocalyptic number.

10532406780 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 10532406780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19935175680).

10532406780 is an abundant number, since it is smaller than the sum of its proper divisors (29337944580).

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

10532406780 is a wasteful number, since it uses less digits than its factorization.

10532406780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10532406780 in words is "ten billion, five hundred thirty-two million, four hundred six thousand, seven hundred eighty".