52952585531040 has 960 divisors, whose sum is σ = 205173412123680. Its totient is φ = 12781922549760.

The previous prime is 52952585531023. The next prime is 52952585531057. The reversal of 52952585531040 is 4013558525925.

52952585531040 is a `hidden beast` number, since 5 + 2 + 9 + 5 + 2 + 585 + 5 + 3 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (52952585531023) and next prime (52952585531057).

It can be written as a sum of positive squares in 16 ways, for example, as 2799504541584 + 50153080989456 = 1673172^2 + 7081884^2 .

It is a super-3 number, since 3×52952585531040³ (a number of 42 digits) contains 333 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3463435716 + ... + 3463451004.

Almost surely, 2^{52952585531040} 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 52952585531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102586706061840).

52952585531040 is an abundant number, since it is smaller than the sum of its proper divisors (152220826592640).

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

52952585531040 is a wasteful number, since it uses less digits than its factorization.

52952585531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727 (or 15710 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 54.

The spelling of 52952585531040 in words is "fifty-two trillion, nine hundred fifty-two billion, five hundred eighty-five million, five hundred thirty-one thousand, forty".