361050360000 has 560 divisors, whose sum is σ = 1332730489728. Its totient is φ = 85478400000.

The previous prime is 361050359987. The next prime is 361050360023. The reversal of 361050360000 is 63050163.

It is a super-2 number, since 2×361050360000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56756820 + ... + 56763180.

Almost surely, 2^361050360000 is an apocalyptic number.

361050360000 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 361050360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666365244864).

361050360000 is an abundant number, since it is smaller than the sum of its proper divisors (971680129728).

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

361050360000 is a wasteful number, since it uses less digits than its factorization.

361050360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The spelling of 361050360000 in words is "three hundred sixty-one billion, fifty million, three hundred sixty thousand".