54861156480 has 512 divisors, whose sum is σ = 194100157440. Its totient is φ = 13096452096.

The previous prime is 54861156451. The next prime is 54861156517. The reversal of 54861156480 is 8465116845.

It is a super-3 number, since 3×54861156480³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 149485257 + ... + 149485623.

It is an arithmetic number, because the mean of its divisors is an integer number (379101870).

Almost surely, 2^54861156480 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 54861156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97050078720).

54861156480 is an abundant number, since it is smaller than the sum of its proper divisors (139239000960).

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

54861156480 is a wasteful number, since it uses less digits than its factorization.

54861156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 54861156480 in words is "fifty-four billion, eight hundred sixty-one million, one hundred fifty-six thousand, four hundred eighty".