920054457504 has 1080 divisors, whose sum is σ = 3531477025440. Its totient is φ = 221953665024.

The previous prime is 920054457481. The next prime is 920054457541. The reversal of 920054457504 is 405754450029.

920054457504 is a `hidden beast` number, since 9 + 2 + 0 + 0 + 544 + 57 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 920054457504.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 31726015762 + ... + 31726015790.

Almost surely, 2^920054457504 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 920054457504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765738512720).

920054457504 is an abundant number, since it is smaller than the sum of its proper divisors (2611422567936).

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

920054457504 is a wasteful number, since it uses less digits than its factorization.

920054457504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 920054457504 in words is "nine hundred twenty billion, fifty-four million, four hundred fifty-seven thousand, five hundred four".