54849640000 has 105 divisors (see below), whose sum is σ = 136125528231. Its totient is φ = 21921120000.

The previous prime is 54849639979. The next prime is 54849640007. The reversal of 54849640000 is 4694845.

The square root of 54849640000 is 234200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 4300211776 + 50549428224 = 65576^2 + 224832^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54849640007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 46839415 + ... + 46840585.

Almost surely, 2^54849640000 is an apocalyptic number.

54849640000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54849640000 is the 234200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54849640000

54849640000 is an abundant number, since it is smaller than the sum of its proper divisors (81275888231).

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

54849640000 is an frugal number, since it uses more digits than its factorization.

54849640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 54849640000 in words is "fifty-four billion, eight hundred forty-nine million, six hundred forty thousand".