53623521504 has 288 divisors, whose sum is σ = 181162066176. Its totient is φ = 15284505600.

The previous prime is 53623521493. The next prime is 53623521559. The reversal of 53623521504 is 40512532635.

53623521504 is a `hidden beast` number, since 5 + 3 + 623 + 5 + 21 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 29773404 + ... + 29775204.

It is an arithmetic number, because the mean of its divisors is an integer number (629034952).

Almost surely, 2^53623521504 is an apocalyptic number.

53623521504 is a gapful number since it is divisible by the number (54) 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 53623521504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90581033088).

53623521504 is an abundant number, since it is smaller than the sum of its proper divisors (127538544672).

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

53623521504 is a wasteful number, since it uses less digits than its factorization.

53623521504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

It can be divided in two parts, 5362352 and 1504, that added together give a square (5363856 = 2316²).

The spelling of 53623521504 in words is "fifty-three billion, six hundred twenty-three million, five hundred twenty-one thousand, five hundred four".