11632753553520 has 400 divisors, whose sum is σ = 41035645648800. Its totient is φ = 2722794117120.

The previous prime is 11632753553503. The next prime is 11632753553563. The reversal of 11632753553520 is 2535535723611.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11632753553520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101844282 + ... + 101958438.

It is an arithmetic number, because the mean of its divisors is an integer number (102589114122).

Almost surely, 2^{11632753553520} is an apocalyptic number.

11632753553520 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 11632753553520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20517822824400).

11632753553520 is an abundant number, since it is smaller than the sum of its proper divisors (29402892095280).

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

11632753553520 is a wasteful number, since it uses less digits than its factorization.

11632753553520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114246 (or 114207 counting only the distinct ones).

The product of its (nonzero) digits is 2835000, while the sum is 48.

The spelling of 11632753553520 in words is "eleven trillion, six hundred thirty-two billion, seven hundred fifty-three million, five hundred fifty-three thousand, five hundred twenty".