16155770400 has 1296 divisors, whose sum is σ = 75855019968. Its totient is φ = 3193344000.

The previous prime is 16155770381. The next prime is 16155770401. The reversal of 16155770400 is 407755161.

16155770400 is a `hidden beast` number, since 1 + 61 + 557 + 7 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×16155770400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16155770401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 89258310 + ... + 89258490.

It is an arithmetic number, because the mean of its divisors is an integer number (58530108).

Almost surely, 2^16155770400 is an apocalyptic number.

16155770400 is a gapful number since it is divisible by the number (10) 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 16155770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37927509984).

16155770400 is an abundant number, since it is smaller than the sum of its proper divisors (59699249568).

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

16155770400 is a wasteful number, since it uses less digits than its factorization.

16155770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 16155770400 in words is "sixteen billion, one hundred fifty-five million, seven hundred seventy thousand, four hundred".