153579788249472 has 672 divisors, whose sum is σ = 499341512937600. Its totient is φ = 47006987489280.

The previous prime is 153579788249471. The next prime is 153579788249477. The reversal of 153579788249472 is 274942887975351.

153579788249472 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 79 + 78 + 8 + 2 + 4 + 9 + 472 = 666.

It is a super-2 number, since 2×153579788249472² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 153579788249391 and 153579788249400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153579788249471) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3011992554 + ... + 3012043542.

Almost surely, 2^{153579788249472} is an apocalyptic number.

153579788249472 is a gapful number since it is divisible by the number (12) 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 153579788249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249670756468800).

153579788249472 is an abundant number, since it is smaller than the sum of its proper divisors (345761724688128).

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

153579788249472 is an equidigital number, since it uses as much as digits as its factorization.

153579788249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51238 (or 51198 counting only the distinct ones).

The product of its digits is 8534937600, while the sum is 81.

The spelling of 153579788249472 in words is "one hundred fifty-three trillion, five hundred seventy-nine billion, seven hundred eighty-eight million, two hundred forty-nine thousand, four hundred seventy-two".