152680619520 has 1600 divisors, whose sum is σ = 678766556160. Its totient is φ = 32248627200.

The previous prime is 152680619477. The next prime is 152680619537. The reversal of 152680619520 is 25916086251.

152680619520 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 8 + 0 + 619 + 5 + 20 = 666.

It is a super-2 number, since 2×152680619520² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 563396985 + ... + 563397255.

Almost surely, 2^152680619520 is an apocalyptic number.

152680619520 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 152680619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339383278080).

152680619520 is an abundant number, since it is smaller than the sum of its proper divisors (526085936640).

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

152680619520 is a wasteful number, since it uses less digits than its factorization.

152680619520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 152680619520 in words is "one hundred fifty-two billion, six hundred eighty million, six hundred nineteen thousand, five hundred twenty".