30103753680 has 2160 divisors, whose sum is σ = 152543611584. Its totient is φ = 5434490880.

The previous prime is 30103753643. The next prime is 30103753721. The reversal of 30103753680 is 8635730103.

30103753680 is a `hidden beast` number, since 3 + 0 + 10 + 37 + 536 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×30103753680² (a number of 22 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 1770809032 + ... + 1770809048.

Almost surely, 2^30103753680 is an apocalyptic number.

30103753680 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 30103753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76271805792).

30103753680 is an abundant number, since it is smaller than the sum of its proper divisors (122439857904).

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

30103753680 is a wasteful number, since it uses less digits than its factorization.

30103753680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 30103753680 in words is "thirty billion, one hundred three million, seven hundred fifty-three thousand, six hundred eighty".