54625655700 has 972 divisors, whose sum is σ = 227119330620. Its totient is φ = 10928332800.

The previous prime is 54625655663. The next prime is 54625655789. The reversal of 54625655700 is 755652645.

54625655700 is a `hidden beast` number, since 5 + 46 + 2 + 56 + 557 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1690689924 + 52934965776 = 41118^2 + 230076^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 154746724 + ... + 154747076.

Almost surely, 2^54625655700 is an apocalyptic number.

54625655700 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 54625655700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113559665310).

54625655700 is an abundant number, since it is smaller than the sum of its proper divisors (172493674920).

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

54625655700 is a wasteful number, since it uses less digits than its factorization.

54625655700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 54625655700 in words is "fifty-four billion, six hundred twenty-five million, six hundred fifty-five thousand, seven hundred".