53515028782656 has 504 divisors, whose sum is σ = 189103936020480. Its totient is φ = 14377407012864.

The previous prime is 53515028782637. The next prime is 53515028782739. The reversal of 53515028782656 is 65628782051535.

It is a happy number.

53515028782656 is a `hidden beast` number, since 5 + 3 + 5 + 1 + 502 + 8 + 78 + 2 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 53515028782593 and 53515028782602.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529177665 + ... + 529278783.

Almost surely, 2^{53515028782656} is an apocalyptic number.

53515028782656 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 53515028782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94551968010240).

53515028782656 is an abundant number, since it is smaller than the sum of its proper divisors (135588907237824).

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

53515028782656 is a wasteful number, since it uses less digits than its factorization.

53515028782656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102271 (or 102251 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 53515028782656 in words is "fifty-three trillion, five hundred fifteen billion, twenty-eight million, seven hundred eighty-two thousand, six hundred fifty-six".