55157293152 has 288 divisors, whose sum is σ = 179240548032. Its totient is φ = 15938813952.

The previous prime is 55157292947. The next prime is 55157293157. The reversal of 55157293152 is 25139275155.

55157293152 is a `hidden beast` number, since 551 + 5 + 7 + 2 + 93 + 1 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55157293098 and 55157293107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55157293157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56455288 + ... + 56456264.

It is an arithmetic number, because the mean of its divisors is an integer number (622363014).

Almost surely, 2^55157293152 is an apocalyptic number.

55157293152 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 55157293152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89620274016).

55157293152 is an abundant number, since it is smaller than the sum of its proper divisors (124083254880).

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

55157293152 is a wasteful number, since it uses less digits than its factorization.

55157293152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1899 counting only the distinct ones).

The product of its digits is 472500, while the sum is 45.

The spelling of 55157293152 in words is "fifty-five billion, one hundred fifty-seven million, two hundred ninety-three thousand, one hundred fifty-two".