53976469659840 has 4480 divisors, whose sum is σ = 254960876814336. Its totient is φ = 10534551552000.

The previous prime is 53976469659811. The next prime is 53976469659887. The reversal of 53976469659840 is 4895696467935.

53976469659840 is a `hidden beast` number, since 5 + 3 + 9 + 7 + 6 + 469 + 65 + 98 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 53976469659840.

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 639 ways as a sum of consecutive naturals, for example, 192087080500 + ... + 192087080780.

Almost surely, 2^{53976469659840} 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 53976469659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127480438407168).

53976469659840 is an abundant number, since it is smaller than the sum of its proper divisors (200984407154496).

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

53976469659840 is a wasteful number, since it uses less digits than its factorization.

53976469659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 10581580800, while the sum is 81.

The spelling of 53976469659840 in words is "fifty-three trillion, nine hundred seventy-six billion, four hundred sixty-nine million, six hundred fifty-nine thousand, eight hundred forty".