54956795973100 has 288 divisors, whose sum is σ = 150037077012480. Its totient is φ = 17038411776000.

The previous prime is 54956795973067. The next prime is 54956795973109. The reversal of 54956795973100 is 137959765945.

It is a happy number.

It is a super-2 number, since 2×54956795973100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 54956795973100.

It is not an unprimeable number, because it can be changed into a prime (54956795973109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50741220 + ... + 51812980.

It is an arithmetic number, because the mean of its divisors is an integer number (520962072960).

Almost surely, 2^{54956795973100} is an apocalyptic number.

54956795973100 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 54956795973100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75018538506240).

54956795973100 is an abundant number, since it is smaller than the sum of its proper divisors (95080281039380).

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

54956795973100 is a wasteful number, since it uses less digits than its factorization.

54956795973100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071969 (or 1071962 counting only the distinct ones).

The product of its (nonzero) digits is 321489000, while the sum is 70.

The spelling of 54956795973100 in words is "fifty-four trillion, nine hundred fifty-six billion, seven hundred ninety-five million, nine hundred seventy-three thousand, one hundred".