53951509003392 has 1536 divisors, whose sum is σ = 213507730275840. Its totient is φ = 12624121036800.

The previous prime is 53951509003367. The next prime is 53951509003393. The reversal of 53951509003392 is 29330090515935.

53951509003392 is a `hidden beast` number, since 5 + 3 + 9 + 515 + 0 + 9 + 0 + 0 + 33 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (53951509003393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12040057792 + ... + 12040062272.

It is an arithmetic number, because the mean of its divisors is an integer number (139002428565).

Almost surely, 2^{53951509003392} is an apocalyptic number.

53951509003392 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 53951509003392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106753865137920).

53951509003392 is an abundant number, since it is smaller than the sum of its proper divisors (159556221272448).

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

53951509003392 is a wasteful number, since it uses less digits than its factorization.

53951509003392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 4920750, while the sum is 54.

The spelling of 53951509003392 in words is "fifty-three trillion, nine hundred fifty-one billion, five hundred nine million, three thousand, three hundred ninety-two".