53956419840 has 432 divisors, whose sum is σ = 198366569856. Its totient is φ = 14034124800.

The previous prime is 53956419817. The next prime is 53956419841. The reversal of 53956419840 is 4891465935.

53956419840 is a `hidden beast` number, since 5 + 39 + 564 + 1 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×53956419840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53956419841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12750525 + ... + 12754755.

Almost surely, 2^53956419840 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 53956419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99183284928).

53956419840 is an abundant number, since it is smaller than the sum of its proper divisors (144410150016).

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

53956419840 is an equidigital number, since it uses as much as digits as its factorization.

53956419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 53956419840 in words is "fifty-three billion, nine hundred fifty-six million, four hundred nineteen thousand, eight hundred forty".