54152011505540 has 192 divisors, whose sum is σ = 125563488906240. Its totient is φ = 19490907502080.

The previous prime is 54152011505519. The next prime is 54152011505561. The reversal of 54152011505540 is 4550511025145.

It is an interprime number because it is at equal distance from previous prime (54152011505519) and next prime (54152011505561).

It is a super-2 number, since 2×54152011505540² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54152011505494 and 54152011505503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16256981675 + ... + 16256985005.

It is an arithmetic number, because the mean of its divisors is an integer number (653976504720).

Almost surely, 2^{54152011505540} 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 54152011505540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62781744453120).

54152011505540 is an abundant number, since it is smaller than the sum of its proper divisors (71411477400700).

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

54152011505540 is a wasteful number, since it uses less digits than its factorization.

54152011505540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 38.

The spelling of 54152011505540 in words is "fifty-four trillion, one hundred fifty-two billion, eleven million, five hundred five thousand, five hundred forty".