16400511198912 has 672 divisors, whose sum is σ = 48140113950720. Its totient is φ = 4913848074240.

The previous prime is 16400511198853. The next prime is 16400511198937. The reversal of 16400511198912 is 21989111500461.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 119711760508 + ... + 119711760644.

Almost surely, 2^{16400511198912} is an apocalyptic number.

16400511198912 is a gapful number since it is divisible by the number (12) 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 16400511198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24070056975360).

16400511198912 is an abundant number, since it is smaller than the sum of its proper divisors (31739602751808).

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

16400511198912 is a wasteful number, since it uses less digits than its factorization.

16400511198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 48.

The spelling of 16400511198912 in words is "sixteen trillion, four hundred billion, five hundred eleven million, one hundred ninety-eight thousand, nine hundred twelve".