54354777600 has 240 divisors, whose sum is σ = 187367507712. Its totient is φ = 13864181760.

The previous prime is 54354777599. The next prime is 54354777661. The reversal of 54354777600 is 677745345.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 54354777600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852429 + ... + 913971.

Almost surely, 2^54354777600 is an apocalyptic number.

54354777600 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 54354777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93683753856).

54354777600 is an abundant number, since it is smaller than the sum of its proper divisors (133012730112).

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

54354777600 is a wasteful number, since it uses less digits than its factorization.

54354777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61597 (or 61576 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 48.

The spelling of 54354777600 in words is "fifty-four billion, three hundred fifty-four million, seven hundred seventy-seven thousand, six hundred".