53936245440 has 1792 divisors, whose sum is σ = 265453977600. Its totient is φ = 9953280000.

The previous prime is 53936245439. The next prime is 53936245469. The reversal of 53936245440 is 4454263935.

53936245440 is a `hidden beast` number, since 53 + 9 + 36 + 24 + 544 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 214885315 + ... + 214885565.

It is an arithmetic number, because the mean of its divisors is an integer number (148132800).

Almost surely, 2^53936245440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53936245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132726988800).

53936245440 is an abundant number, since it is smaller than the sum of its proper divisors (211517732160).

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

53936245440 is a wasteful number, since it uses less digits than its factorization.

53936245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

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

The spelling of 53936245440 in words is "fifty-three billion, nine hundred thirty-six million, two hundred forty-five thousand, four hundred forty".