152211547768320 has 2240 divisors, whose sum is σ = 600294014724096. Its totient is φ = 36840831713280.

The previous prime is 152211547768307. The next prime is 152211547768409. The reversal of 152211547768320 is 23867745112251.

152211547768320 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 1 + 1 + 547 + 7 + 68 + 32 + 0 = 666.

It is a super-2 number, since 2×152211547768320² (a number of 29 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 149080849410 + ... + 149080850430.

Almost surely, 2^{152211547768320} is an apocalyptic number.

152211547768320 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 152211547768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300147007362048).

152211547768320 is an abundant number, since it is smaller than the sum of its proper divisors (448082466955776).

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

152211547768320 is a wasteful number, since it uses less digits than its factorization.

152211547768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 152211547768320 in words is "one hundred fifty-two trillion, two hundred eleven billion, five hundred forty-seven million, seven hundred sixty-eight thousand, three hundred twenty".