23825653632000 has 3520 divisors, whose sum is σ = 104692991090688. Its totient is φ = 5328322560000.

The previous prime is 23825653631963. The next prime is 23825653632083. The reversal of 23825653632000 is 23635652832.

23825653632000 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 5 + 6 + 5 + 3 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 81316223854 + ... + 81316224146.

Almost surely, 2^{23825653632000} is an apocalyptic number.

23825653632000 is a gapful number since it is divisible by the number (20) 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 23825653632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52346495545344).

23825653632000 is an abundant number, since it is smaller than the sum of its proper divisors (80867337458688).

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

23825653632000 is a wasteful number, since it uses less digits than its factorization.

23825653632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 23825653632000 in words is "twenty-three trillion, eight hundred twenty-five billion, six hundred fifty-three million, six hundred thirty-two thousand".