534979153800 has 576 divisors, whose sum is σ = 2218438010880. Its totient is φ = 112507729920.

The previous prime is 534979153771. The next prime is 534979153867. The reversal of 534979153800 is 8351979435.

534979153800 is a `hidden beast` number, since 5 + 34 + 9 + 79 + 1 + 538 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51919449 + ... + 51929751.

It is an arithmetic number, because the mean of its divisors is an integer number (3851454880).

Almost surely, 2^534979153800 is an apocalyptic number.

534979153800 is a gapful number since it is divisible by the number (50) 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 534979153800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109219005440).

534979153800 is an abundant number, since it is smaller than the sum of its proper divisors (1683458857080).

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

534979153800 is a wasteful number, since it uses less digits than its factorization.

534979153800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10662 (or 10650 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 534979153800 in words is "five hundred thirty-four billion, nine hundred seventy-nine million, one hundred fifty-three thousand, eight hundred".