534939899950080 has 880 divisors, whose sum is σ = 2136508194300480. Its totient is φ = 127193108447232.

The previous prime is 534939899950067. The next prime is 534939899950219. The reversal of 534939899950080 is 80059998939435.

It is a happy number.

534939899950080 is a `hidden beast` number, since 5 + 349 + 39 + 89 + 9 + 95 + 0 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131957839 + ... + 135951281.

It is an arithmetic number, because the mean of its divisors is an integer number (2427850220796).

Almost surely, 2^{534939899950080} 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 534939899950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068254097150240).

534939899950080 is an abundant number, since it is smaller than the sum of its proper divisors (1601568294350400).

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

534939899950080 is a wasteful number, since it uses less digits than its factorization.

534939899950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993516 (or 3993489 counting only the distinct ones).

The product of its (nonzero) digits is 3401222400, while the sum is 81.

The spelling of 534939899950080 in words is "five hundred thirty-four trillion, nine hundred thirty-nine billion, eight hundred ninety-nine million, nine hundred fifty thousand, eighty".