6180152011920 has 320 divisors, whose sum is σ = 22022065735680. Its totient is φ = 1591380172800.

The previous prime is 6180152011919. The next prime is 6180152011921. The reversal of 6180152011920 is 291102510816.

6180152011920 is a `hidden beast` number, since 6 + 18 + 0 + 1 + 520 + 119 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6180152011919) and next prime (6180152011921).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6180152011921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30499740 + ... + 30701700.

It is an arithmetic number, because the mean of its divisors is an integer number (68818955424).

Almost surely, 2^{6180152011920} is an apocalyptic number.

6180152011920 is a gapful number since it is divisible by the number (60) 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 6180152011920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11011032867840).

6180152011920 is an abundant number, since it is smaller than the sum of its proper divisors (15841913723760).

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

6180152011920 is a wasteful number, since it uses less digits than its factorization.

6180152011920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202471 (or 202459 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 6180152011920 in words is "six trillion, one hundred eighty billion, one hundred fifty-two million, eleven thousand, nine hundred twenty".