36248256000 has 640 divisors, whose sum is σ = 146157073920. Its totient is φ = 8782848000.

The previous prime is 36248255987. The next prime is 36248256061. The reversal of 36248256000 is 65284263.

36248256000 is a `hidden beast` number, since 3 + 6 + 2 + 48 + 2 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 19007047 + ... + 19008953.

It is an arithmetic number, because the mean of its divisors is an integer number (228370428).

Almost surely, 2^36248256000 is an apocalyptic number.

36248256000 is a gapful number since it is divisible by the number (30) 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 36248256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73078536960).

36248256000 is an abundant number, since it is smaller than the sum of its proper divisors (109908817920).

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

36248256000 is a wasteful number, since it uses less digits than its factorization.

36248256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

36248256000 divided by its product of nonzero digits (69120) gives a palindrome (524425).

The spelling of 36248256000 in words is "thirty-six billion, two hundred forty-eight million, two hundred fifty-six thousand".