54763164951552 has 440 divisors, whose sum is σ = 164885235900000. Its totient is φ = 18103790075904.

The previous prime is 54763164951511. The next prime is 54763164951557. The reversal of 54763164951552 is 25515946136745.

54763164951552 is a `hidden beast` number, since 5 + 4 + 7 + 6 + 3 + 1 + 64 + 9 + 515 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54763164951552.

It is not an unprimeable number, because it can be changed into a prime (54763164951557) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14399988883 + ... + 14399992685.

It is an arithmetic number, because the mean of its divisors is an integer number (374739172500).

Almost surely, 2^{54763164951552} 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 54763164951552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82442617950000).

54763164951552 is an abundant number, since it is smaller than the sum of its proper divisors (110122070948448).

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

54763164951552 is a wasteful number, since it uses less digits than its factorization.

54763164951552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5196 counting only the distinct ones).

The product of its digits is 136080000, while the sum is 63.

The spelling of 54763164951552 in words is "fifty-four trillion, seven hundred sixty-three billion, one hundred sixty-four million, nine hundred fifty-one thousand, five hundred fifty-two".