55901349504 has 1152 divisors, whose sum is σ = 226411113600. Its totient is φ = 13284311040.

The previous prime is 55901349481. The next prime is 55901349541. The reversal of 55901349504 is 40594310955.

55901349504 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 134 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×55901349504² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55901349504.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 494702152 + ... + 494702264.

It is an arithmetic number, because the mean of its divisors is an integer number (196537425).

Almost surely, 2^55901349504 is an apocalyptic number.

55901349504 is a gapful number since it is divisible by the number (54) 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 55901349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113205556800).

55901349504 is an abundant number, since it is smaller than the sum of its proper divisors (170509764096).

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

55901349504 is a wasteful number, since it uses less digits than its factorization.

55901349504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 55901349504 in words is "fifty-five billion, nine hundred one million, three hundred forty-nine thousand, five hundred four".