53956193040 has 200 divisors, whose sum is σ = 189505471320. Its totient is φ = 14226499584.

The previous prime is 53956193023. The next prime is 53956193047. The reversal of 53956193040 is 4039165935.

53956193040 is a `hidden beast` number, since 53 + 9 + 561 + 9 + 30 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56070144 + 53900122896 = 7488^2 + 232164^2 .

It is a super-2 number, since 2×53956193040² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53956193047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 529942 + ... + 623498.

Almost surely, 2^53956193040 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 53956193040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94752735660).

53956193040 is an abundant number, since it is smaller than the sum of its proper divisors (135549278280).

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

53956193040 is a wasteful number, since it uses less digits than its factorization.

53956193040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93671 (or 93656 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 53956193040 in words is "fifty-three billion, nine hundred fifty-six million, one hundred ninety-three thousand, forty".