154993560480 has 384 divisors, whose sum is σ = 592449500160. Its totient is φ = 37532574720.

The previous prime is 154993560451. The next prime is 154993560481. The reversal of 154993560480 is 84065399451.

154993560480 is a `hidden beast` number, since 1 + 549 + 9 + 3 + 56 + 0 + 48 + 0 = 666.

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 (154993560481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83016507 + ... + 83018373.

It is an arithmetic number, because the mean of its divisors is an integer number (1542837240).

Almost surely, 2^154993560480 is an apocalyptic number.

154993560480 is a gapful number since it is divisible by the number (10) 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 154993560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296224750080).

154993560480 is an abundant number, since it is smaller than the sum of its proper divisors (437455939680).

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

154993560480 is a wasteful number, since it uses less digits than its factorization.

154993560480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 154993560480 in words is "one hundred fifty-four billion, nine hundred ninety-three million, five hundred sixty thousand, four hundred eighty".