55140854509440 has 2560 divisors, whose sum is σ = 240577388789760. Its totient is φ = 11768599019520.

The previous prime is 55140854509439. The next prime is 55140854509463. The reversal of 55140854509440 is 4490545804155.

It is a happy number.

55140854509440 is a `hidden beast` number, since 5 + 5 + 1 + 4 + 0 + 8 + 545 + 0 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×55140854509440² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 57022599837 + ... + 57022600803.

It is an arithmetic number, because the mean of its divisors is an integer number (93975542496).

Almost surely, 2^{55140854509440} 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 55140854509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120288694394880).

55140854509440 is an abundant number, since it is smaller than the sum of its proper divisors (185436534280320).

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

55140854509440 is a wasteful number, since it uses less digits than its factorization.

55140854509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 55140854509440 in words is "fifty-five trillion, one hundred forty billion, eight hundred fifty-four million, five hundred nine thousand, four hundred forty".