71154789552 has 1440 divisors, whose sum is σ = 290453409792. Its totient is φ = 16422912000.

The previous prime is 71154789533. The next prime is 71154789599. The reversal of 71154789552 is 25598745117.

71154789552 is a `hidden beast` number, since 7 + 1 + 1 + 5 + 4 + 7 + 89 + 552 = 666.

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

Its product of digits (3528000) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1735482652 + ... + 1735482692.

Almost surely, 2^71154789552 is an apocalyptic number.

71154789552 is a gapful number since it is divisible by the number (72) 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 71154789552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145226704896).

71154789552 is an abundant number, since it is smaller than the sum of its proper divisors (219298620240).

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

71154789552 is a wasteful number, since it uses less digits than its factorization.

71154789552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 54.

The spelling of 71154789552 in words is "seventy-one billion, one hundred fifty-four million, seven hundred eighty-nine thousand, five hundred fifty-two".