30790188651040 has 576 divisors, whose sum is σ = 92930464214784. Its totient is φ = 9552083853312.

The previous prime is 30790188651017. The next prime is 30790188651059. The reversal of 30790188651040 is 4015688109703.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8680626547 + ... + 8680630093.

It is an arithmetic number, because the mean of its divisors is an integer number (161337611484).

Almost surely, 2^{30790188651040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30790188651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46465232107392).

30790188651040 is an abundant number, since it is smaller than the sum of its proper divisors (62140275563744).

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

30790188651040 is a wasteful number, since it uses less digits than its factorization.

30790188651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 30790188651040 in words is "thirty trillion, seven hundred ninety billion, one hundred eighty-eight million, six hundred fifty-one thousand, forty".