55152347627520 has 1920 divisors, whose sum is σ = 232356008263680. Its totient is φ = 12235686543360.

The previous prime is 55152347627501. The next prime is 55152347627543. The reversal of 55152347627520 is 2572674325155.

55152347627520 is a `hidden beast` number, since 5 + 5 + 1 + 5 + 2 + 3 + 4 + 7 + 627 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×55152347627520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40169225554 + ... + 40169226926.

It is an arithmetic number, because the mean of its divisors is an integer number (121018754304).

Almost surely, 2^{55152347627520} 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 55152347627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116178004131840).

55152347627520 is an abundant number, since it is smaller than the sum of its proper divisors (177203660636160).

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

55152347627520 is a wasteful number, since it uses less digits than its factorization.

55152347627520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 55152347627520 in words is "fifty-five trillion, one hundred fifty-two billion, three hundred forty-seven million, six hundred twenty-seven thousand, five hundred twenty".