5481972000 has 384 divisors, whose sum is σ = 20134033920. Its totient is φ = 1448755200.

The previous prime is 5481971969. The next prime is 5481972037. The reversal of 5481972000 is 2791845.

5481972000 is a `hidden beast` number, since 548 + 1 + 97 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20843869 + ... + 20844131.

It is an arithmetic number, because the mean of its divisors is an integer number (52432380).

Almost surely, 2^5481972000 is an apocalyptic number.

5481972000 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 5481972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10067016960).

5481972000 is an abundant number, since it is smaller than the sum of its proper divisors (14652061920).

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

5481972000 is a wasteful number, since it uses less digits than its factorization.

5481972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5481972000 is about 74040.3403557817. The cubic root of 5481972000 is about 1763.2434165800.

The spelling of 5481972000 in words is "five billion, four hundred eighty-one million, nine hundred seventy-two thousand".