55010579372640 has 288 divisors, whose sum is σ = 189714627385920. Its totient is φ = 14514154242048.

The previous prime is 55010579372603. The next prime is 55010579372659. The reversal of 55010579372640 is 4627397501055.

It is a happy number.

55010579372640 is a `hidden beast` number, since 5 + 5 + 0 + 1 + 0 + 579 + 3 + 7 + 2 + 64 + 0 = 666.

55010579372640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×55010579372640³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167289024 + ... + 167617536.

It is an arithmetic number, because the mean of its divisors is an integer number (658731345090).

Almost surely, 2^{55010579372640} 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 55010579372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94857313692960).

55010579372640 is an abundant number, since it is smaller than the sum of its proper divisors (134704048013280).

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

55010579372640 is a wasteful number, since it uses less digits than its factorization.

55010579372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329766 (or 329755 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 55010579372640 in words is "fifty-five trillion, ten billion, five hundred seventy-nine million, three hundred seventy-two thousand, six hundred forty".