53958250632 has 256 divisors, whose sum is σ = 167368320000. Its totient is φ = 14251852800.

The previous prime is 53958250627. The next prime is 53958250637. The reversal of 53958250632 is 23605285935.

It is an interprime number because it is at equal distance from previous prime (53958250627) and next prime (53958250637).

It is a super-2 number, since 2×53958250632² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53958250637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22756407 + ... + 22758777.

It is an arithmetic number, because the mean of its divisors is an integer number (653782500).

Almost surely, 2^53958250632 is an apocalyptic number.

53958250632 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 53958250632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83684160000).

53958250632 is an abundant number, since it is smaller than the sum of its proper divisors (113410069368).

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

53958250632 is a wasteful number, since it uses less digits than its factorization.

53958250632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

It can be divided in two parts, 53958 and 250632, that added together give a triangular number (304590 = T₇₈₀).

The spelling of 53958250632 in words is "fifty-three billion, nine hundred fifty-eight million, two hundred fifty thousand, six hundred thirty-two".