30268868400 has 120 divisors (see below), whose sum is σ = 107734788560. Its totient is φ = 8071695360.

The previous prime is 30268868387. The next prime is 30268868401. The reversal of 30268868400 is 486886203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30268868401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390537 + ... + 1412136.

Almost surely, 2^30268868400 is an apocalyptic number.

30268868400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30268868400 is an abundant number, since it is smaller than the sum of its proper divisors (77465920160).

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

30268868400 is a wasteful number, since it uses less digits than its factorization.

30268868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802700 (or 2802683 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 30268868400 in words is "thirty billion, two hundred sixty-eight million, eight hundred sixty-eight thousand, four hundred".