547007721409152 has 640 divisors, whose sum is σ = 1662503942193600. Its totient is φ = 178488806031360.

The previous prime is 547007721409117. The next prime is 547007721409157. The reversal of 547007721409152 is 251904127700745.

It is a happy number.

547007721409152 is a `hidden beast` number, since 5 + 470 + 0 + 7 + 7 + 2 + 14 + 0 + 9 + 152 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (547007721409157) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 202071561783 + ... + 202071564489.

Almost surely, 2^{547007721409152} 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 547007721409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831251971096800).

547007721409152 is an abundant number, since it is smaller than the sum of its proper divisors (1115496220784448).

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

547007721409152 is a wasteful number, since it uses less digits than its factorization.

547007721409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 547007721409152 in words is "five hundred forty-seven trillion, seven billion, seven hundred twenty-one million, four hundred nine thousand, one hundred fifty-two".