155782070400 has 768 divisors, whose sum is σ = 598956664320. Its totient is φ = 35168256000.

The previous prime is 155782070393. The next prime is 155782070419. The reversal of 155782070400 is 4070287551.

It is a super-2 number, since 2×155782070400² (a number of 23 digits) contains 22 as substring.

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, 192085995 + ... + 192086805.

It is an arithmetic number, because the mean of its divisors is an integer number (779891490).

Almost surely, 2^155782070400 is an apocalyptic number.

155782070400 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 155782070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299478332160).

155782070400 is an abundant number, since it is smaller than the sum of its proper divisors (443174593920).

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

155782070400 is a wasteful number, since it uses less digits than its factorization.

155782070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The spelling of 155782070400 in words is "one hundred fifty-five billion, seven hundred eighty-two million, seventy thousand, four hundred".