1201547795616 has 288 divisors, whose sum is σ = 4291245000000. Its totient is φ = 325230764544.

The previous prime is 1201547795563. The next prime is 1201547795689. The reversal of 1201547795616 is 6165977451021.

1201547795616 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 5 + 4 + 7 + 79 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57510 + ... + 1551258.

It is an arithmetic number, because the mean of its divisors is an integer number (14900156250).

Almost surely, 2^{1201547795616} is an apocalyptic number.

1201547795616 is a gapful number since it is divisible by the number (16) 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 1201547795616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145622500000).

1201547795616 is an abundant number, since it is smaller than the sum of its proper divisors (3089697204384).

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

1201547795616 is a wasteful number, since it uses less digits than its factorization.

1201547795616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493801 (or 1493780 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 1201547795616 in words is "one trillion, two hundred one billion, five hundred forty-seven million, seven hundred ninety-five thousand, six hundred sixteen".