54952789627008 has 2560 divisors, whose sum is σ = 219413113920000. Its totient is φ = 13526364192768.

The previous prime is 54952789626991. The next prime is 54952789627009. The reversal of 54952789627008 is 80072698725945.

54952789627008 is a `hidden beast` number, since 5 + 4 + 9 + 527 + 8 + 96 + 2 + 7 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (54952789627009) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 64122274516 + ... + 64122275372.

It is an arithmetic number, because the mean of its divisors is an integer number (85708247625).

Almost surely, 2^{54952789627008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54952789627008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109706556960000).

54952789627008 is an abundant number, since it is smaller than the sum of its proper divisors (164460324292992).

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

54952789627008 is a wasteful number, since it uses less digits than its factorization.

54952789627008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 54952789627008 in words is "fifty-four trillion, nine hundred fifty-two billion, seven hundred eighty-nine million, six hundred twenty-seven thousand, eight".