54053951952 has 640 divisors, whose sum is σ = 200579162112. Its totient is φ = 12084019200.

The previous prime is 54053951923. The next prime is 54053951969. The reversal of 54053951952 is 25915935045.

It is a super-2 number, since 2×54053951952² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45308668 + ... + 45309860.

Almost surely, 2^54053951952 is an apocalyptic number.

54053951952 is a gapful number since it is divisible by the number (52) 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 54053951952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100289581056).

54053951952 is an abundant number, since it is smaller than the sum of its proper divisors (146525210160).

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

54053951952 is a wasteful number, since it uses less digits than its factorization.

54053951952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 48.

The spelling of 54053951952 in words is "fifty-four billion, fifty-three million, nine hundred fifty-one thousand, nine hundred fifty-two".