55833935040 has 1344 divisors, whose sum is σ = 239968552320. Its totient is φ = 12254478336.

The previous prime is 55833935033. The next prime is 55833935099. The reversal of 55833935040 is 4053933855.

It is a happy number.

55833935040 is a `hidden beast` number, since 5 + 58 + 3 + 3 + 93 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2938628151 + ... + 2938628169.

It is an arithmetic number, because the mean of its divisors is an integer number (178548030).

Almost surely, 2^55833935040 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 55833935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119984276160).

55833935040 is an abundant number, since it is smaller than the sum of its proper divisors (184134617280).

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

55833935040 is a wasteful number, since it uses less digits than its factorization.

55833935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 55833935040 in words is "fifty-five billion, eight hundred thirty-three million, nine hundred thirty-five thousand, forty".