534125519262720 has 3960 divisors, whose sum is σ = 2563855415494560. Its totient is φ = 105129808035840.

The previous prime is 534125519262667. The next prime is 534125519262767. The reversal of 534125519262720 is 27262915521435.

534125519262720 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 2 + 5 + 5 + 1 + 9 + 2 + 627 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 80695799571 + ... + 80695806189.

It is an arithmetic number, because the mean of its divisors is an integer number (647438236236).

Almost surely, 2^{534125519262720} 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 534125519262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281927707747280).

534125519262720 is an abundant number, since it is smaller than the sum of its proper divisors (2029729896231840).

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

534125519262720 is a wasteful number, since it uses less digits than its factorization.

534125519262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 534125519262720 in words is "five hundred thirty-four trillion, one hundred twenty-five billion, five hundred nineteen million, two hundred sixty-two thousand, seven hundred twenty".