534450772961280 has 4032 divisors, whose sum is σ = 2340856262384640. Its totient is φ = 114547123814400.

The previous prime is 534450772961107. The next prime is 534450772961297. The reversal of 534450772961280 is 82169277054435.

It is a happy number.

534450772961280 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 5 + 0 + 7 + 7 + 2 + 9 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×534450772961280² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2217638061960 + ... + 2217638062200.

It is an arithmetic number, because the mean of its divisors is an integer number (580569509520).

It is a 1-persistent number, because it is pandigital, but 2⋅534450772961280 = 1068901545922560 is not.

Almost surely, 2^{534450772961280} 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 534450772961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170428131192320).

534450772961280 is an abundant number, since it is smaller than the sum of its proper divisors (1806405489423360).

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

534450772961280 is an equidigital number, since it uses as much as digits as its factorization.

534450772961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 534450772961280 in words is "five hundred thirty-four trillion, four hundred fifty billion, seven hundred seventy-two million, nine hundred sixty-one thousand, two hundred eighty".