54400896000 has 1232 divisors, whose sum is σ = 226171359648. Its totient is φ = 12939264000.

The previous prime is 54400895999. The next prime is 54400896029. The reversal of 54400896000 is 69800445.

54400896000 is a `hidden beast` number, since 5 + 4 + 40 + 0 + 8 + 9 + 600 + 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 111 ways as a sum of consecutive naturals, for example, 1026431974 + ... + 1026432026.

Almost surely, 2^54400896000 is an apocalyptic number.

54400896000 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 54400896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113085679824).

54400896000 is an abundant number, since it is smaller than the sum of its proper divisors (171770463648).

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

54400896000 is an equidigital number, since it uses as much as digits as its factorization.

54400896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 54400896000 in words is "fifty-four billion, four hundred million, eight hundred ninety-six thousand".