152516202553260 has 288 divisors, whose sum is σ = 569418969974400. Its totient is φ = 32177821556736.

The previous prime is 152516202553219. The next prime is 152516202553283. The reversal of 152516202553260 is 62355202615251.

152516202553260 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 16 + 20 + 2 + 553 + 2 + 60 = 666.

It is a super-2 number, since 2×152516202553260² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393729034 + ... + 394116206.

It is an arithmetic number, because the mean of its divisors is an integer number (1977149201300).

Almost surely, 2^{152516202553260} is an apocalyptic number.

152516202553260 is a gapful number since it is divisible by the number (10) 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 152516202553260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284709484987200).

152516202553260 is an abundant number, since it is smaller than the sum of its proper divisors (416902767421140).

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

152516202553260 is a wasteful number, since it uses less digits than its factorization.

152516202553260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411257 (or 411252 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 152516202553260 in words is "one hundred fifty-two trillion, five hundred sixteen billion, two hundred two million, five hundred fifty-three thousand, two hundred sixty".