54652752000 has 2048 divisors, whose sum is σ = 263960985600. Its totient is φ = 10782720000.

The previous prime is 54652751987. The next prime is 54652752013. The reversal of 54652752000 is 25725645.

54652752000 is a `hidden beast` number, since 54 + 65 + 27 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54652751987) and next prime (54652752013).

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 255 ways as a sum of consecutive naturals, for example, 1031183974 + ... + 1031184026.

It is an arithmetic number, because the mean of its divisors is an integer number (128887200).

Almost surely, 2^54652752000 is an apocalyptic number.

54652752000 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 54652752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131980492800).

54652752000 is an abundant number, since it is smaller than the sum of its proper divisors (209308233600).

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

54652752000 is a wasteful number, since it uses less digits than its factorization.

54652752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 54652752000 in words is "fifty-four billion, six hundred fifty-two million, seven hundred fifty-two thousand".