54762717479040 has 896 divisors, whose sum is σ = 209585082199680. Its totient is φ = 13643498373120.

The previous prime is 54762717479003. The next prime is 54762717479053. The reversal of 54762717479040 is 4097471726745.

It is a happy number.

54762717479040 is a `hidden beast` number, since 5 + 476 + 2 + 7 + 1 + 74 + 7 + 90 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 461368500 + ... + 461487180.

Almost surely, 2^{54762717479040} 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 54762717479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104792541099840).

54762717479040 is an abundant number, since it is smaller than the sum of its proper divisors (154822364720640).

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

54762717479040 is a wasteful number, since it uses less digits than its factorization.

54762717479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118784 (or 118757 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 54762717479040 in words is "fifty-four trillion, seven hundred sixty-two billion, seven hundred seventeen million, four hundred seventy-nine thousand, forty".