10365252480 has 768 divisors, whose sum is σ = 41541776640. Its totient is φ = 2448506880.

The previous prime is 10365252467. The next prime is 10365252551. The reversal of 10365252480 is 8425256301.

10365252480 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 52 + 524 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 124882519 + ... + 124882601.

It is an arithmetic number, because the mean of its divisors is an integer number (54090855).

Almost surely, 2^10365252480 is an apocalyptic number.

10365252480 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 10365252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770888320).

10365252480 is an abundant number, since it is smaller than the sum of its proper divisors (31176524160).

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

10365252480 is an equidigital number, since it uses as much as digits as its factorization.

10365252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10365252480 in words is "ten billion, three hundred sixty-five million, two hundred fifty-two thousand, four hundred eighty".