53619470560656 has 1440 divisors, whose sum is σ = 216167356903680. Its totient is φ = 12030914396160.

The previous prime is 53619470560633. The next prime is 53619470560679. The reversal of 53619470560656 is 65606507491635.

53619470560656 is a `hidden beast` number, since 5 + 3 + 6 + 1 + 9 + 4 + 7 + 0 + 560 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (53619470560633) and next prime (53619470560679).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 53619470560593 and 53619470560602.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4824926556 + ... + 4824937668.

It is an arithmetic number, because the mean of its divisors is an integer number (150116220072).

Almost surely, 2^{53619470560656} is an apocalyptic number.

53619470560656 is a gapful number since it is divisible by the number (56) 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 53619470560656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108083678451840).

53619470560656 is an abundant number, since it is smaller than the sum of its proper divisors (162547886343024).

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

53619470560656 is a wasteful number, since it uses less digits than its factorization.

53619470560656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11365 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

It can be divided in two parts, 536194 and 70560656, that added together give a triangular number (71096850 = T₁₁₉₂₄).

The spelling of 53619470560656 in words is "fifty-three trillion, six hundred nineteen billion, four hundred seventy million, five hundred sixty thousand, six hundred fifty-six".