361287501120 has 2016 divisors, whose sum is σ = 1666302683136. Its totient is φ = 72559411200.

The previous prime is 361287501101. The next prime is 361287501163. The reversal of 361287501120 is 21105782163.

361287501120 is a `hidden beast` number, since 3 + 6 + 1 + 28 + 7 + 501 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5922745890 + ... + 5922745950.

Almost surely, 2^361287501120 is an apocalyptic number.

361287501120 is a gapful number since it is divisible by the number (30) 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 361287501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833151341568).

361287501120 is an abundant number, since it is smaller than the sum of its proper divisors (1305015182016).

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

361287501120 is an equidigital number, since it uses as much as digits as its factorization.

361287501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 361287501120 in words is "three hundred sixty-one billion, two hundred eighty-seven million, five hundred one thousand, one hundred twenty".